Questions & Answers
ICSE - Grade - 10
Subject: Physics
Chapter - 01 - Force
Types of Questions
MCQ
- What is the S.I. unit of the moment of a force?
A. dyne-cm
B. joule
C. newton
D. newton-metre
D. newton-metre - When does a body experience a turning effect?
A. When force is applied at the centre
B. When force is applied at a distance from the pivot
C. When balanced forces act
D. When net force is zero
B. When force is applied at a distance from the pivot - Moment of a force depends on:
A. Mass and acceleration
B. Weight and distance
C. Force and perpendicular distance from pivot
D. Displacement and time
C. Force and perpendicular distance from pivot - The moment of a force is also called:
A. Torque
B. Inertia
C. Impulse
D. Thrust
A. Torque - Clockwise moment is:
A. Negative
B. Positive
C. Zero
D. Undefined
A. Negative - A spanner works effectively when:
A. Handle is short
B. Handle is long
C. Force is weak
D. Mass is small
B. Handle is long - In translational equilibrium:
A. Net torque is zero
B. Net acceleration is constant
C. Net external force is zero
D. Net velocity is zero
C. Net external force is zero - In rotational equilibrium:
A. Net displacement is zero
B. Net moment is zero
C. Net force is zero
D. Net velocity is zero
B. Net moment is zero - Which device works based on the principle of moments?
A. Thermometer
B. Seesaw
C. Spring balance
D. Ammeter
B. Seesaw - The principle of moments states:
A. Force = mass × acceleration
B. Action = reaction
C. Clockwise moment = Anticlockwise moment
D. Moment = mass × velocity
C. Clockwise moment = Anticlockwise moment - What is the effect of increasing the perpendicular distance in a moment?
A. Decreases torque
B. Increases moment
C. No change
D. Decreases force
B. Increases moment - What is the unit of torque in the C.G.S. system?
A. newton-metre
B. dyne-centimetre
C. joule
D. kilogram-metre
B. dyne-centimetre - A metre rule is used in which experiment?
A. Principle of floatation
B. Measurement of pressure
C. Verification of principle of moments
D. Measurement of current
C. Verification of principle of moments - In the experiment to verify the principle of moments, the rule balances when:
A. Weights are equal
B. Net moment is zero
C. Pivot is central
D. Rule is vertical
B. Net moment is zero - A body is said to be in equilibrium when:
A. It accelerates
B. It is at rest only
C. There is no net force or moment
D. There is no rotation only
C. There is no net force or moment - Which of the following is an example of a turning effect?
A. Pushing a wall
B. Pulling a drawer
C. Opening a door
D. Walking
C. Opening a door - What happens when clockwise and anticlockwise moments are equal?
A. The body falls
B. The body is in equilibrium
C. The force increases
D. The motion is translational
B. The body is in equilibrium - Centre of gravity of a regular ring lies:
A. On the circumference
B. At the centre
C. Outside the ring
D. At any random point
B. At the centre - For a uniform circular disc, the C.G. lies at:
A. Any point
B. The edge
C. The centre
D. On the chord
C. The centre - Which of these is true about the centre of gravity?
A. It always lies inside the body
B. It moves as the body moves
C. It may lie outside the body
D. It is always at the base
C. It may lie outside the body - The method to find the C.G. of an irregular lamina is based on:
A. Magnetic effect
B. Gravitational law
C. Intersection of plumb lines
D. Reflection
C. Intersection of plumb lines - A triangle’s C.G. is located at:
A. Midpoint of any side
B. Intersection of diagonals
C. Intersection of medians
D. Centroid of base
C. Intersection of medians - What is rotational motion?
A. Body moves in straight line
B. Body vibrates about a point
C. Body spins about a fixed axis
D. Body falls under gravity
C. Body spins about a fixed axis - Which of the following is an example of rotational motion?
A. Car moving on a road
B. Rock falling freely
C. Blades of a fan
D. A bouncing ball
C. Blades of a fan - In translational motion:
A. All parts rotate differently
B. Each point moves same distance
C. Axis of rotation is fixed
D. There is zero motion
B. Each point moves same distance - Uniform circular motion means:
A. Speed changes constantly
B. Direction remains fixed
C. Speed is constant, direction changes
D. Speed and direction both constant
C. Speed is constant, direction changes - In uniform circular motion, the acceleration is:
A. Away from centre
B. Tangential
C. Zero
D. Towards the centre
D. Towards the centre - What provides centripetal force to a car on a circular road?
A. Gravity
B. Weight
C. Friction
D. Air pressure
C. Friction - Which is a real force?
A. Centripetal force
B. Centrifugal force
C. Pseudo force
D. Imaginary force
A. Centripetal force - Centrifugal force is:
A. A type of friction
B. A real force
C. An apparent force due to inertia
D. A gravitational force
C. An apparent force due to inertia - When a passenger turns in a car, they feel pushed outward due to:
A. Centripetal force
B. Inertia
C. Torque
D. Equilibrium
B. Inertia - A stone tied to a string and whirled exhibits:
A. Translational motion
B. Vibratory motion
C. Uniform circular motion
D. Oscillatory motion
C. Uniform circular motion - If force = 5 N and distance = 2 m, moment = ?
A. 10 N
B. 7 N·m
C. 10 N·m
D. 2.5 N·m
C. 10 N·m - A body remains balanced when suspended through:
A. Base
B. Edge
C. Centre of mass
D. Centre of gravity
D. Centre of gravity - Which condition ensures rotational equilibrium?
A. Equal force
B. Equal area
C. Equal moments
D. Equal mass
C. Equal moments - What happens when net moment ≠ 0?
A. Body at rest
B. Body in translational motion
C. Body rotates
D. Body stops
C. Body rotates - The moment of a force is maximum when angle between force and distance is:
A. 0°
B. 30°
C. 90°
D. 180°
C. 90° - Torque is a:
A. Scalar
B. Vector
C. Pseudo vector
D. Unitless quantity
B. Vector - A 200 g weight = ? force (g = 10 m/s²)
A. 0.2 N
B. 2 N
C. 20 N
D. 200 N
B. 2 N - A body in uniform circular motion has:
A. Constant velocity
B. Changing speed
C. Zero force
D. Constant speed
D. Constant speed - What causes circular motion?
A. Magnetic force
B. Frictional force
C. Centripetal force
D. Weight
C. Centripetal force - Centre of gravity lies at midpoint in:
A. Rod
B. Triangle
C. Square lamina
D. Circle
A. Rod - A longer spanner is preferred because it:
A. Requires more force
B. Reduces force needed
C. Increases weight
D. Increases moment of inertia
B. Reduces force needed - Torque can be zero even if force is applied when:
A. Distance is zero
B. Force is zero
C. Moment arm is perpendicular
D. Body is in vacuum
A. Distance is zero - SI unit of force is:
A. kilogram
B. joule
C. newton
D. dyne
C. newton - In uniform circular motion, velocity:
A. Is constant
B. Changes in magnitude
C. Changes in direction
D. Zero
C. Changes in direction - Which of these is not a force?
A. Torque
B. Tension
C. Friction
D. Weight
A. Torque - Direction of torque depends on:
A. Applied force
B. Distance only
C. Rotation direction
D. Shape of object
C. Rotation direction - A fan rotates because of:
A. Translational force
B. Rotational inertia
C. Rotational motion
D. Tangential thrust
C. Rotational motion - Which motion has changing direction but constant speed?
A. Random motion
B. Rectilinear motion
C. Uniform circular motion
D. Rotational motion
C. Uniform circular motion
Fill in the Blanks
- The turning effect of a force about a point is called __________.
Moment (or Torque) - Moment of force = Force × __________.
Perpendicular distance - SI unit of moment of force is __________.
Newton-metre (N·m) - The direction of moment is determined by the __________ in which the body rotates.
Direction - A moment is said to be clockwise if it causes __________ rotation.
Clockwise - A spanner with a longer handle produces __________ torque.
Greater - A body is in translational equilibrium if the net external __________ acting on it is zero.
Force - A body is in rotational equilibrium if the net __________ about the axis is zero.
Moment - According to the principle of moments, in equilibrium, total clockwise moment = total __________ moment.
Anticlockwise - The apparatus used to verify the principle of moments includes a uniform __________.
Metre rule - A body is in equilibrium when there is no net change in its state of __________.
Motion - The centre of gravity of a regular square lamina lies at the __________ of the diagonals.
Intersection - The centre of gravity of a circular disc lies at the __________ of the disc.
Centre - For a uniform rod, the centre of gravity is at the __________ of its length.
Midpoint - In an equilateral triangle, the centre of gravity lies at the point of intersection of its __________.
Medians - The point through which the whole weight of the body appears to act is called __________.
Centre of gravity - The C.G. of a body may lie __________ the body depending on its shape.
Outside - A body suspended from its centre of gravity remains __________.
Balanced - In an irregular lamina, C.G. is located at the intersection of lines drawn using a __________.
Plumb line - Rotational motion occurs when a body turns about a fixed __________.
Axis - Translational motion occurs when all parts of a body move through the same __________ in the same time.
Distance - A car moving in a straight line is an example of __________ motion.
Translational - The blades of a ceiling fan exhibit __________ motion.
Rotational - In uniform circular motion, the __________ remains constant but direction changes.
Speed - In circular motion, velocity is always changing because of change in __________.
Direction - The force responsible for circular motion is called __________ force.
Centripetal - Centripetal force always acts towards the __________ of the circle.
Centre - The apparent force acting outward on a body in circular motion is __________ force.
Centrifugal - Centrifugal force is not a real force but an effect of __________.
Inertia - Tension in the string of a whirling stone acts as the __________ force.
Centripetal - When a person takes a turn in a car, he feels pushed __________.
Outward - The moment of a force is directly proportional to both force and __________.
Perpendicular distance - A force applied closer to the pivot produces a __________ turning effect.
Smaller - A door opens easily when force is applied at the __________ edge from the hinge.
Farther - A body remains in rotational equilibrium when net moment acting on it is __________.
Zero - Torque is a __________ quantity.
Vector - The SI unit of force is __________.
Newton - Moment of a force is __________ when it causes anticlockwise rotation.
Positive - If perpendicular distance is zero, the moment of the force is __________.
Zero - The term torque is used interchangeably with the word __________.
Moment - A see-saw balances when clockwise and anticlockwise __________ are equal.
Moments - In the C.G.S. system, moment of force is expressed in __________.
Dyne-centimetre - The axis about which the rotation occurs is called the __________.
Pivot - The application of a force can cause a change in the __________ of a body.
State of motion - A spinning top is an example of __________ motion.
Rotational - A ball thrown vertically upward has __________ motion.
Translational - The tendency of a force to rotate a body is known as its __________ effect.
Turning - A lever operates based on the __________ of moments.
Principle - A longer lever arm reduces the __________ required to produce a moment.
Force - In the practical method, centre of gravity is found using a __________ line and suspension.
Plumb
Name the Following
- Name the effect of a force which produces rotation in a body.
Moment (or Torque) - Name the physical quantity which is the product of force and perpendicular distance from pivot.
Moment of force - Name the SI unit of moment of force.
Newton-metre (N·m) - Name the CGS unit of moment of force.
Dyne-centimetre (dyne-cm) - Name the two directions in which a moment can act.
Clockwise and Anticlockwise - Name the type of moment that causes rotation to the right.
Clockwise moment - Name the type of moment that causes rotation to the left.
Anticlockwise moment - Name the point about which a body rotates.
Pivot or Axis of rotation - Name one tool that works based on the moment of force.
Spanner - Name the condition when the net force acting on a body is zero.
Translational equilibrium - Name the condition when the net moment acting on a body is zero.
Rotational equilibrium - Name the principle which states that in equilibrium, clockwise moment = anticlockwise moment.
Principle of moments - Name one instrument used to verify the principle of moments.
Metre rule - Name the geometrical centre where the weight of a body appears to act.
Centre of gravity - Name the method used to find the centre of gravity of an irregular lamina.
Plumb line method - Name the point of intersection of medians of a triangle.
Centre of gravity - Name the point of intersection of diagonals of a square lamina.
Centre of gravity - Name the type of motion in which all parts of a body move equal distances in equal time.
Translational motion - Name the type of motion in which the body rotates about a fixed axis.
Rotational motion - Name the force which keeps a body in circular motion.
Centripetal force - Name the direction of centripetal force.
Towards the centre - Name the force which appears to act outward in circular motion.
Centrifugal force - Name the type of force that is imaginary and not real.
Centrifugal force - Name the real force in uniform circular motion.
Centripetal force - Name one daily life example of circular motion.
Blades of a fan - Name the force acting on a stone tied to a string and whirled in a circle.
Tension (providing centripetal force) - Name the tool which uses torque to tighten or loosen a nut.
Spanner - Name the type of motion shown by a car moving in a straight line.
Translational motion - Name the type of motion shown by a spinning top.
Rotational motion - Name the force that acts through the string in uniform circular motion.
Tension - Name the type of equilibrium when net force and net moment both are zero.
Static equilibrium - Name one shape where C.G. lies outside the body.
Ring - Name one instrument used to measure force.
Spring balance - Name the force acting on a rotating object that resists change in motion.
Inertia - Name the force that causes a rotating fan to stop when switched off.
Friction - Name the quantity that measures turning effect.
Torque or Moment - Name the physical quantity that changes continuously in circular motion.
Direction of velocity - Name the device which demonstrates both types of equilibrium.
Seesaw - Name the component of weight that provides centripetal force in banked roads.
Horizontal component of normal reaction - Name the geometrical centre of a circular ring.
Centre of gravity - Name one rigid body where the C.G. is at the centre.
Circular disc - Name a simple machine that operates using the principle of moments.
Lever - Name the axis about which Earth rotates.
Polar axis - Name the measure of how difficult it is to rotate a body.
Moment of inertia - Name the law used when a plank is balanced on a triangular base with weights on both sides.
Principle of moments - Name one everyday object that shows both translational and rotational motion.
Bicycle wheel - Name the effect that helps a gymnast balance on a rope.
Torque balancing - Name the physical quantity whose direction is determined by the right-hand rule in rotation.
Torque - Name one example of anticlockwise moment in everyday life.
Turning a tap open - Name the condition for a balanced lever.
Clockwise moment = Anticlockwise moment
Answer in One Word
- What is the turning effect of a force called?
Moment - Which unit is used to measure moment in SI?
Newton-metre - What type of moment turns a body to the right?
Clockwise - What type of moment turns a body to the left?
Anticlockwise - What do we call the point where the whole weight appears to act?
Centregavity - What is the physical quantity equal to force × perpendicular distance?
Moment - What kind of motion involves rotation about a fixed axis?
Rotational - What kind of motion involves all parts of a body moving equal distances in equal time?
Translational - Which force keeps a body in circular motion?
Centripetal - Which imaginary force is felt outward in circular motion?
Centrifugal - Which tool uses the principle of moments to unscrew nuts?
Spanner - Which type of equilibrium occurs when net force is zero?
Translational - Which type of equilibrium occurs when net moment is zero?
Rotational - What kind of force is tension in a string?
Centripetal - What is the direction of centripetal force?
Inward - What is the SI unit of force?
Newton - What is the CGS unit of moment?
Dyne-centimetre - What instrument is used to verify the principle of moments?
Metre - What is the point of intersection of diagonals of a rectangle?
Centregavity - What is the point of intersection of medians of a triangle?
Centregavity - What is the condition for rotational equilibrium?
Zeromoment - What kind of force is friction?
Contact - What kind of force is gravity?
Non-contact - What is the vector quantity that causes rotation?
Torque - What kind of motion is shown by a spinning top?
Rotational - What kind of motion is shown by a falling ball?
Translational - What kind of force is experienced when taking a sharp turn in a car?
Centrifugal - What is the angle for maximum turning effect?
90 - What physical quantity is responsible for turning a lever?
Moment - What is the tendency of a force to cause rotation?
Torque - What method is used to locate CG of irregular lamina?
Plumbline - What is the result of equal clockwise and anticlockwise moments?
Equilibrium - What is the device used to apply torque in daily life?
Spanner - What is the direction of moment causing leftward rotation?
Anticlockwise - What is the name of imaginary outward force in circular motion?
Centrifugal - What is the direction of acceleration in uniform circular motion?
Inward - What is the unit of mass in SI?
Kilogram - What is the point where an object is suspended to find CG?
Pivot - What kind of motion is shown by ceiling fan blades?
Rotational - What is the quantity that remains constant in uniform circular motion?
Speed - What quantity keeps changing in uniform circular motion?
Direction - What is used to reduce effort while turning a nut?
Lever - What is the motion of Earth around its axis?
Rotational - What is the direction of centrifugal force?
Outward - What is the direction of velocity in circular motion?
Tangential - What causes a vehicle to skid on a circular road?
Friction - What is needed to maintain uniform circular motion?
Centripetalforce - What is the CG of a circular ring?
Centre - What is the force between tyre and road that helps turning?
Friction - What condition makes a lever perfectly balanced?
Equilibrium
ICSE - Grade 10 - Physics
All Chapters
- Chapter 1 – Force
- Chapter 2 – Work, Energy and Power
- Chapter 3 – Machines
- Chapter 4 – Refraction of Light at Plane Surfaces
- Chapter 5 – Refraction through Lens
- Chapter 6 – Spectrum
- Chapter 7 – Sound
- Chapter 8 – Current Electricity
- Chapter 9 – Electrical Power and Household Circuits
- Chapter 10 – Electro-magnetism
- Chapter 11 – Calorimetry
- Chapter 12 – Radioactivity
ICSE - Grade 10 - Chemistry
All Chapters
- Chapter 1 The Language of Chemistry
- Chapter 2 Chemical Changes and Reactions
- Chapter 3 Water
- Chapter 4 Atomic Structure and Chemical Bonding
- Chapter 5 The periodic table
- Chapter 6 Study of the first Element Hydrogen
- Chapter 7 Study of Gas laws
- Chapter 8 Atmospheric Pollution
ICSE - Grade 10 - Mathematics
All Chapters
- Chapter 1 Rational and Irrational Numbers
- Chapter 2 Compound Interest [Without Using Formula]
- Chapter 3 Compound Interest [Using Formula]
- Chapter 4 Expansions
- Chapter 5 Factorisation
- Chapter 6 Simultaneous Equations
- Chapter 7 Indices
- Chapter 8 Logarithms
- Chapter 9 Triangles
- Chapter 10 Isosceles Triangles
- Chapter 11 Inequalities
- Chapter 12 Midpoint and Its Converse
- Chapter 13 Pythagoras Theorem
- Chapter 14 Rectilinear Figures
- Chapter 15 Construction of Polygons
- Chapter 16 Area Theorems
- Chapter 17 Circle
- Chapter 18 Statistics
- Chapter 19 Mean and Median
- Chapter 20 Area and Perimeter of Plane Figures
- Chapter 21 Solids
- Chapter 22 Trigonometrical Ratios
- Chapter 23 Trigonometrical Ratios of Standard Angles
- Chapter 24 Solutions of Right Triangles
- Chapter 25 Complementary Angles
- Chapter 26 Coordinate Geometry
- Chapter 27 Graphical Solution
- Chapter 28 Distance Formula
ICSE - Grade 10 - Biology
All Chapters
- Chapter 1 Introducing Biology
- Chapter 2 Cell: The Unit Of Life
- Chapter 3 Tissues: Plant And Animal Tissue
- Chapter 4 The Flower
- Chapter 5 Pollination and Fertilization
- Chapter 6 Seeds: Structure and Germination
- Chapter 7 Respiration in Plants
- Chapter 8 Five Kingdom Classification
- Chapter 9 Economic Importance of Bacteria and Fungi
- Chapter 10 Nutrition
- Chapter 11 Digestive system
- Chapter 12 Skeleton: Movement and Locomotion
- Chapter 13 Skin: The Jack of all trades
- Chapter 14 The Respiratory System
- Chapter 15 Hygiene: [A key to Healthy Life]
- Chapter 16 Diseases: Cause and Control
- Chapter 17 Aids to Health
- Chapter 18 Health Organizations
- Chapter 19 Waste Generation and Management
ICSE - Grade 10 - History
All Chapters
- Chapter 1 – The Harappan Civilisation
- Chapter 2 – The Vedic Period
- Chapter 3 – Jainism and Buddhism
- Chapter 4 – The Mauryan Empire
- History — Chapter 5
The Sangam Age - Chapter 6 – The Age of the Guptas
- Chapter 7 – Medieval India — (A) The Cholas
- Chapter 8 – Medieval India — (B) The Delhi Sultanate
- Chapter 9 – Medieval India — (C) The Mughal Empire
- Chapter 10 – Medieval India — (D) Composite Culture
- Chapter 11 – The Modern Age in Europe — (A) Renaissance
- Chapter 12 – The Modern Age in Europe — (B) Reformation
- Chapter 13 – The Modern Age in Europe — (C) Industrial Revolution
ICSE - Grade 10 - Civics
All Chapters
- Chapter 1: Our Constitution
- Chapter 2: Salient Features of the Constitution — I
- Chapter 3: Salient Features of the
- Constitution — II
- Chapter 4: Elections
- Chapter 5: Local Self-Government — Rural
- Chapter 6: Local Self-Government — Urban
ICSE - Grade 10 - Geography
All Chapters
- Ch 1 – Earth as a Planet
Ch 2 – Geographic Grid: Latitudes and Longitudes
Ch 3 – Rotation and Revolution
Ch 4 – Earth’s Structure
Ch 5 – Landforms of the Earth
Ch 6 – Rocks
Ch 7 – Volcanoes
Ch 8 – Earthquakes
Ch 9 – Weathering
Ch 10 – Denudation
Ch 11 – Hydrosphere
Ch 12 – Composition and Structure of the Atmosphere
Ch 13 – Insolation
Ch 14 – Atmospheric Pressure and Winds
Ch 15 – Humidity
Ch 16 – Pollution
Ch 17 – Sources of Pollution
Ch 18 – Effects of Pollution
Ch 19 – Preventive Measures
Ch 20 – Natural Regions of the World
Find the Odd Man Out
- Force, Pressure, Torque, Moment
Pressure
Pressure is not a turning effect; others relate to rotational motion. - Metre rule, Spring balance, Knife edge, Ammeter
Ammeter
Ammeter measures current, others are used in mechanics experiments. - Newton, Joule, Dyne, Newton-metre
Joule
Joule is a unit of work, others relate to force or torque. - Inertia, Centripetal force, Centrifugal force, Torque
Inertia
Inertia is a property of matter, others are forces. - Clockwise moment, Anticlockwise moment, Torque, Inertia
Inertia
Inertia is not a turning effect; others are rotational concepts. - Uniform rod, Circular disc, Irregular lamina, Screw gauge
Screw gauge
Screw gauge is a measuring instrument; others are physical bodies with CG. - Force, Mass, Acceleration, Torque
Mass
Mass is scalar, others are vector physical quantities. - Speed, Centripetal force, Acceleration, Velocity
Speed
Speed is scalar; others have direction and are vector quantities. - Tension, Friction, Weight, Current
Current
Current is not a force; others can provide circular motion. - Seesaw, Lever, Pulley, Thermometer
Thermometer
Thermometer doesn’t operate on the principle of moments; others do. - Dyne-cm, N-m, Newton, Torque
Newton
Newton is unit of force; others are units or types of torque. - Triangle, Rod, Lamina, Spring
Spring
Spring is not a rigid body; others have definite CG locations. - Friction, Centripetal, Tension, Resistance
Resistance
Resistance is electrical; others are mechanical forces. - Pivot, Axis, Plumb line, Diagonal
Plumb line
Plumb line is used in CG experiment; others relate to rotation. - Gravity, Magnetism, Friction, Electrostatics
Friction
Friction is a contact force; others are non-contact forces. - Rope tension, Normal reaction, Magnetic pull, Electrostatic push
Normal reaction
Normal reaction is perpendicular contact force, others can act at a distance. - Base, Pivot, Axis, Point of rotation
Base
Base is structural; others are related to rotational mechanics. - Translational motion, Rotational motion, Vibratory motion, Moment
Moment
Moment is a cause of motion; others are types of motion. - Lamina, Meter rule, Spring balance, Slotted weight
Spring balance
Spring balance measures force; others are used in CG or moment experiments. - Centripetal force, Torque, Inertia, Force × distance
Inertia
Inertia is not a force or effect; others cause or measure rotation. - Turning effect, Moment, Torque, Current
Current
Current is unrelated to mechanical rotation; others relate to torque. - Velocity, Acceleration, Displacement, Work
Work
Work is scalar; others are vector physical quantities. - Midpoint, Median, Diagonal, Thermometer
Thermometer
Thermometer is not a geometric construct; others locate CG. - Fan blades, Bicycle wheel, Ball in straight line, Top
Ball in straight line
Others exhibit rotation; ball in straight line shows translation. - Door hinge, Knife edge, Spring, Axis
Spring
Spring is elastic; others act as pivots. - Newton, Kilogram, Joule, Watt
Kilogram
Kilogram is unit of mass; others are for energy or power. - Lever, Plumb line, Axis, Seesaw
Plumb line
Plumb line is for CG detection; others are systems showing moment. - Seesaw, Steering wheel, Spanner, Thermometer
Thermometer
Thermometer is unrelated to torque or moment applications. - Force, Mass, Speed, Torque
Torque
Others are linear quantities; torque is rotational. - Uniform circular motion, Inertia, Centrifugal force, Translation
Translation
Others relate to circular motion; translation doesn’t. - Triangle, Circle, Fan blade, Ellipse
Fan blade
Fan blade is a physical object; others are geometric shapes. - Seesaw, Weighing balance, Plumb bob, Lever
Plumb bob
Plumb bob is for vertical reference; others are balance systems. - Principle of moments, Centre of gravity, Newton’s third law, Turning effect
Newton’s third law
Others relate to rotational equilibrium; Newton’s third law is about action-reaction. - Pendulum, Fan, Rotating disc, Bicycle wheel
Pendulum
Pendulum swings; others rotate. - Slotted weights, Spring balance, Metre rule, Barometer
Barometer
Barometer is unrelated to force experiments; others are not. - Force, Area, Moment, Torque
Area
Area is not a force or effect; others are. - Resistance, Capacitance, Current, Force
Force
Force is mechanical; others are electrical quantities. - Axis, Centre, Fulcrum, Bulb
Bulb
Bulb is electrical; others relate to rotation or balance. - Screwdriver, Spanner, Pulley, Compass
Compass
Compass is for direction; others deal with mechanical rotation. - Electron, Stone, Fan blade, Ceiling fan
Electron
Electron’s motion is atomic scale; others are macroscopic. - C.G., Weight, Force, Thermometer
Thermometer
Others relate to mass and motion; thermometer doesn’t. - Tangential velocity, Centripetal acceleration, Centripetal force, Thermometer
Thermometer
Others are components of circular motion. - Metre rule, Knife edge, Magnetic needle, Spring balance
Magnetic needle
Others are used in force or moment experiments. - Torque, Thrust, Impulse, Temperature
Temperature
Temperature is thermal; others are mechanical forces/effects. - Mass, Force, Acceleration, Energy
Mass
Others involve interactions or effects; mass is an intrinsic property. - Seesaw, Lever, Spring, Wheel
Spring
Others are rigid bodies that rotate or balance. - Centripetal force, Tension, Gravity, Voltage
Voltage
Voltage is electric; others can act as centripetal forces. - Moment, Force × distance, Inertia, Centripetal force
Inertia
Inertia is not caused by force; others are. - Dyne, Joule, Newton, Pascal
Joule
Joule is energy; others are force or pressure units. - Plumb line, Metre rule, Knife edge, Thermometer
Thermometer
Thermometer is unrelated to the CG or moment experiment.
Match the Pair
Set 1 – Match the Pair
Column A
- Moment
- Torque
- SI unit of Moment
- CG of a circular disc
- Knife edge
Column B
a) Pivot
b) Turning effect
c) Centre
d) Force × perpendicular distance
e) Newton-metre
Correct Answers
1 – d
2 – b
3 – e
4 – c
5 – a
Set 2 – Match the Pair
Column A
- Centre of Gravity
- Uniform circular motion
- Centripetal force
- Anticlockwise moment
- Friction on circular path
Column B
a) Outward imaginary force
b) Inward real force
c) Balanced torque to the left
d) Constant speed with changing direction
e) Acts as centripetal force
Correct Answers
1 – b
2 – d
3 – b
4 – c
5 – e
Set 3 – Match the Pair
Column A
- Tension in string
- Longer spanner
- CG of triangle
- Rotational motion
- Translational motion
Column B
a) Fixed axis rotation
b) Centripetal force
c) Greater turning effect
d) Same distance by all parts
e) Intersection of medians
Correct Answers
1 – b
2 – c
3 – e
4 – a
5 – d
Set 4 – Match the Pair
Column A
- SI unit of force
- Torque
- Balanced lever
- Equilibrium
- Metre rule experiment
Column B
a) Force × distance
b) Uses knife edge
c) Net force and net moment = 0
d) Newton
e) Equal clockwise and anticlockwise moments
Correct Answers
1 – d
2 – a
3 – e
4 – c
5 – b
Set 5 – Match the Pair
Column A
- Plumb line
- Axis
- Circular motion
- CG of a rod
- Spring balance
Column B
a) Measures force
b) Midpoint
c) Vertical reference
d) Centre-seeking motion
e) Line about which rotation occurs
Correct Answers
1 – c
2 – e
3 – d
4 – b
5 – a
Set 6 – Match the Pair
Column A
- Moment is maximum when
- Seesaw
- Circular motion speed
- Centrifugal force
- CG of square lamina
Column B
a) Acts outward, not real
b) Constant
c) Acts at diagonals’ intersection
d) Lever in balance
e) Force is perpendicular to lever arm
Correct Answers
1 – e
2 – d
3 – b
4 – a
5 – c
Set 7 – Match the Pair
Column A
- Unit of torque
- Balanced lamina
- CG of circular ring
- Force without rotation
- Zero moment
Column B
a) Newton-metre
b) Distance = 0
c) Line of action passes through pivot
d) Centre of ring
e) Intersecting plumb lines
Correct Answers
1 – a
2 – e
3 – d
4 – c
5 – b
Set 8 – Match the Pair
Column A
- Tendency to rotate
- Fulcrum
- Load
- Effort
- Lever
Column B
a) Applied force
b) Point of support
c) Body to be lifted
d) Turning effect
e) Simple machine
Correct Answers
1 – d
2 – b
3 – c
4 – a
5 – e
Set 9 – Match the Pair
Column A
- Circular road turning
- CG of rectangle
- Real force in circle
- Direction of velocity
- Bicyclist pedalling
Column B
a) Torque on crank
b) Centre of diagonals
c) Tangent to path
d) Friction
e) Centripetal force
Correct Answers
1 – d
2 – b
3 – e
4 – c
5 – a
Set 10 – Match the Pair
Column A
- Torque is produced
- Force at hinge
- CG location tool
- Moment arm
- Balanced beam
Column B
a) No rotation
b) Least moment
c) Plumb line
d) Perpendicular distance
e) Force away from pivot
Correct Answers
1 – e
2 – b
3 – c
4 – d
5 – a
Short Answer Questions
- What is the turning effect of a force called?
It is called the moment of a force. - What is the SI unit of moment of force?
The SI unit is newton-metre (N·m). - Define moment of force.
It is the product of force and the perpendicular distance from the pivot. - When is the moment of a force said to be clockwise?
When it tends to rotate the body in the clockwise direction. - What is meant by anticlockwise moment?
It is a moment that tends to rotate the body in the anticlockwise direction. - Name the factors on which moment depends.
It depends on the magnitude of force and its perpendicular distance from the pivot. - What is the direction of moment determined by?
It is determined by the direction of rotation it tends to produce. - State the principle of moments.
In equilibrium, the sum of clockwise moments equals the sum of anticlockwise moments. - What is meant by equilibrium?
A body is in equilibrium when there is no change in its state of motion. - When is a body said to be in translational equilibrium?
When the net external force on the body is zero. - When is a body in rotational equilibrium?
When the net moment acting on the body is zero. - What is the CG of a body?
It is the point through which the whole weight of the body appears to act. - Where is the CG of a uniform rod?
At its midpoint. - Where is the CG of a square lamina?
At the intersection of its diagonals. - What is the CG of a circular disc?
At its geometrical centre. - Where is the CG of an equilateral triangle located?
At the intersection of its medians. - Can CG lie outside the body?
Yes, depending on the shape of the body. - Name the instrument used to find CG of an irregular lamina.
A plumb line is used. - How do you locate CG using the plumb line method?
Suspend the lamina from two points and draw lines; their intersection is the CG. - What type of motion occurs when a body moves in a straight line?
Translational motion. - What is rotational motion?
It is the motion of a body about a fixed axis. - Give an example of rotational motion.
Rotation of a ceiling fan. - What is uniform circular motion?
Motion in a circular path with constant speed. - Does velocity remain constant in uniform circular motion?
No, only speed remains constant, but direction changes. - What is centripetal force?
It is the force acting towards the centre that keeps a body in circular motion. - Give one example of centripetal force.
Tension in the string while whirling a stone in a circle. - What is centrifugal force?
It is the apparent force acting away from the centre in a rotating frame. - Is centrifugal force real?
No, it is not a real force. - Why do passengers feel pushed outward in a turning car?
Due to the effect of inertia or centrifugal force. - What is meant by torque?
It is the moment of a force causing rotation. - What is the CGS unit of moment?
Dyne-centimetre (dyne-cm). - State the relation: moment = ?
Moment = Force × Perpendicular distance. - What happens to moment if the perpendicular distance is doubled?
The moment also doubles. - What happens to moment if force is zero?
Moment becomes zero. - What is the moment if force is applied at the pivot?
Zero, because the perpendicular distance is zero. - What is the function of a lever?
To multiply force or make work easier. - What is the direction of centripetal acceleration?
Towards the centre of the circular path. - What keeps a planet in orbit around the Sun?
Gravitational centripetal force. - What provides centripetal force to a car on a circular road?
Friction between tyres and the road. - Which quantity changes in uniform circular motion—speed or velocity?
Velocity. - Why does the direction of velocity change in circular motion?
Because the object constantly changes its direction along the path. - Give one use of principle of moments in daily life.
Balancing a see-saw. - What is the role of friction in circular motion?
It can act as the centripetal force. - Why is it easier to open a door by pushing at its edge?
Because the perpendicular distance is greater, producing more moment. - What is the effect of increasing the force applied at a fixed distance?
It increases the moment. - Name a device that increases torque using longer arm.
Spanner. - What is the point of support in a lever called?
Fulcrum. - What is the line of action of force?
It is the direction along which the force acts. - When does a balanced ruler stay horizontal?
When clockwise and anticlockwise moments are equal. - What condition is required for a lever to be in equilibrium?
Clockwise moment = Anticlockwise moment.
Puzzles
- I’m invisible but determine how something rotates. Multiply me by distance and I create turning. What am I?
Force
- I act even when nothing moves. I balance all forces. What am I?
Equilibrium
- I go around in a path but never increase in speed. My direction changes, though. Who am I?
Uniform circular motion
- I keep pulling towards the centre, or you’d fly away. Who am I?
Centripetal force
- I seem to push you outward on a ride, but I don’t really exist. What am I?
Centrifugal force
- I make turning easier the farther you are from the pivot. What am I?
Moment of force
- I am not inside the object, but all of its weight seems to act through me. What am I?
Centre of gravity
- My clockwise and anticlockwise sides match when there’s balance. What am I?
Principle of moments
- Add me to an object, and it becomes hard to topple. Lower me, and I make you stable. What am I?
Centre of gravity
- You cannot see me, but I oppose change in motion. I am always present in circular paths. What am I?
Inertia
- What force lets a spinning top stay upright as it rotates fast?
Centripetal force
- You hang a cardboard from two points and draw vertical lines. Where they meet, what do you find?
Centre of gravity
- You push a door at its hinge. Why doesn’t it turn?
Because the moment of force is zero
- A toy is balanced on a pencil tip. What does this say about its weight distribution?
Centre of gravity is directly above the pivot
- I rotate without moving forward. I’m not linear, but I’m motion. What am I?
Rotational motion
- Your hands are on a steering wheel. One hand pushes up, the other down. What’s this called?
A couple
- Increase my length and I reduce your effort. I’m part of your tools. What am I?
Lever arm
- You are standing in a bus that takes a sharp left. You fall right. Why?
Because of inertia (appears as centrifugal force)
- I never change your speed, but I always change your direction. What am I?
Centripetal acceleration
- I’m the result when force meets rotation and distance. What physical quantity am I?
Torque (moment of force)
- I provide a turning effect but not movement. Two forces, equal and opposite, cause me. What am I?
Couple
- In an experiment, a uniform rod is suspended by two strings and balanced. What law is proven?
Principle of moments
- I’m stable when the vertical through me stays inside the base. Who am I?
Centre of gravity
- A stone tied to a string is spun in a circle. Cut the string. Which direction does it move?
Tangential to the circle
- Which force causes an object to change direction in circular motion?
Centripetal force
- When clockwise moment equals anticlockwise moment, what is achieved?
Rotational equilibrium
- You hang weights on both sides of a see-saw. How can a lighter child balance a heavier one?
By sitting farther from the pivot
- You draw a vertical line from point A and another from point B on cardboard. What’s found at the intersection?
Centre of gravity
- I’m not real, yet I make you feel thrown outward in a turn. What am I?
Centrifugal force
- I increase with distance, and I help you unscrew tight bolts. What am I?
Moment of force
- Which part of a car’s design improves stability by keeping the centre of gravity low?
Chassis
- What type of motion occurs when all points on a body move equally?
Translational motion
- What remains unchanged in uniform circular motion—speed or velocity?
Speed
- I act inward and keep circular motion intact. Remove me and you fly off. What am I?
Centripetal force
- In which type of equilibrium do both net force and net moment equal zero?
Static equilibrium
- I don’t exist in inertial frames, but I’m felt during sharp turns. What force am I?
Centrifugal force
- Which method helps you find the centre of gravity of an irregular lamina?
Plumb line method
- What is the turning effect of a couple called?
Torque
- When two equal forces act at different points in opposite directions, what is formed?
Couple
- Why is the base of a dam wider at the bottom?
To lower the centre of gravity and increase stability
- What is the unit of moment of force in SI?
Newton-metre
- What determines the magnitude of moment of force?
Force and perpendicular distance from pivot
- Which motion changes direction constantly without changing speed?
Uniform circular motion
- Which law is used to balance a lever with unequal weights?
Principle of moments
- Why does a door not rotate when force is applied along its hinge?
Because the perpendicular distance is zero
- What force is needed to keep a stone moving in a circle?
Centripetal force
- Why does a car skid when turning at high speed?
Because centripetal force required is greater than frictional force available
- What type of force produces only rotational effect, not linear motion?
Couple
- What keeps the hands of a clock rotating in the same direction continuously?
Moment of force applied by internal mechanism
- A disc hangs from a point on its edge. Where will the vertical from the suspension intersect?
At the centre of gravity (geometric centre)
Difference Between:
- Difference between Force and Moment of Force
Force causes linear motion; moment of force causes rotational motion.
Force is a push or pull; moment is the turning effect of force.
SI unit of force is newton; SI unit of moment is newton-metre (N·m).
- Difference between Clockwise Moment and Anticlockwise Moment
Clockwise moment turns the object in clockwise direction.
Anticlockwise moment turns the object in anticlockwise direction.
Clockwise is considered positive/negative depending on convention; vice versa for anticlockwise.
- Difference between Translational and Rotational Motion
Translational motion: all parts move same distance in same direction.
Rotational motion: parts move around a fixed axis with different distances.
Example: moving car (translational); spinning top (rotational).
- Difference between Equilibrium and Rotational Equilibrium
Equilibrium: no net force or net moment acts; body remains at rest.
Rotational equilibrium: specifically no net moment acts; no angular acceleration.
Equilibrium includes both translational and rotational balance.
- Difference between Centripetal and Centrifugal Force
Centripetal: real force directed toward centre of circular path.
Centrifugal: apparent force directed away from centre in rotating frame.
Centripetal keeps body in circular motion; centrifugal is only felt.
- Difference between Uniform Circular Motion and Non-uniform Circular Motion
Uniform: speed remains constant; only direction changes.
Non-uniform: both speed and direction change.
Uniform motion has constant acceleration; non-uniform has varying acceleration.
- Difference between Centre of Gravity and Centre of Mass
Centre of gravity is the point where entire weight acts.
Centre of mass is the point where total mass is concentrated.
In uniform gravitational field, both coincide.
- Difference between Stable and Unstable Equilibrium
Stable: body returns to original position after displacement.
Unstable: body moves further away after displacement.
Stable C.G. lowers; unstable C.G. rises on displacement.
- Difference between Force and Torque
Force produces linear acceleration.
Torque (moment of force) produces angular acceleration.
Force acts through a point; torque depends on distance from axis.
- Difference between Linear Velocity and Angular Velocity
Linear velocity: rate of change of position in straight line.
Angular velocity: rate of change of angle in circular motion.
Units: m/s for linear; rad/s for angular.
- Difference between Torque and Couple
Torque: general term for turning effect of any force.
Couple: pair of equal and opposite forces creating pure rotation.
All couples produce torque; but not all torques are from couples.
- Difference between Pivot and Axis of Rotation
Pivot: point or support about which object rotates.
Axis: imaginary line passing through the pivot for rotation.
Pivot is a physical point; axis is a conceptual line.
- Difference between Real and Pseudo Force
Real force has a physical source and acts in inertial frame.
Pseudo force is observed only in non-inertial frames.
Centripetal force is real; centrifugal is pseudo.
- Difference between Static and Dynamic Equilibrium
Static: object remains at rest, net force and torque zero.
Dynamic: object moves with constant velocity, net force and torque still zero.
Static implies zero velocity; dynamic implies uniform motion.
- Difference between Balanced and Unbalanced Forces
Balanced: forces cancel each other; no motion/change.
Unbalanced: net force exists; causes acceleration or motion.
Balanced forces maintain equilibrium; unbalanced disturb it.
- Difference between Lever and Couple
Lever: simple machine with effort, load, and fulcrum.
Couple: two equal, opposite, and parallel forces.
Lever causes linear or angular motion; couple causes only rotation.
- Difference between Tangential and Centripetal Acceleration
Tangential: along tangent to circular path, changes speed.
Centripetal: toward centre, changes direction.
Tangential affects magnitude of velocity; centripetal affects direction.
- Difference between Rigid Body and Particle in Rotation
Rigid body: all points maintain fixed distances.
Particle: considered dimensionless, cannot rotate as a system.
Rigid bodies show rotational inertia; particles don’t.
- Difference between Linear and Rotational Equilibrium
Linear: net external force is zero.
Rotational: net moment (torque) is zero.
Both are required for complete mechanical equilibrium.
- Difference between Torque and Moment of a Couple
Torque is general turning effect of force about an axis.
Moment of couple is torque produced by a couple.
Moment of couple = one force × perpendicular distance between forces.
Assertion and Reason
Each question includes:
- Assertion (A)
- Reason (R)
- Correct Answer on the next line (choose from A, B, C, or D)
- A: Both A and R are true, and R is the correct explanation of A.
- B: Both A and R are true, but R is not the correct explanation of A.
- C: A is true, but R is false.
- D: A is false, but R is true.
- A: Moment of force causes rotational motion.
R: Moment is the product of force and perpendicular distance from pivot.
A - A: SI unit of moment of force is newton.
R: Moment of force is a type of force.
D - A: A longer spanner is more effective than a shorter one.
R: Moment of force increases with increase in perpendicular distance.
A - A: A force always produces rotation in a body.
R: Torque is the turning effect of a force.
C - A: A seesaw works on the principle of moments.
R: When clockwise moment equals anticlockwise moment, body is in equilibrium.
A - A: Translational equilibrium exists when net force acting is zero.
R: A body can accelerate under translational equilibrium.
C - A: The direction of moment depends on the direction of force.
R: Moment is a scalar quantity.
C - A: Centripetal force is required for uniform circular motion.
R: It acts away from the centre of the circular path.
C - A: Centrifugal force is a real force.
R: It acts away from the centre in circular motion.
D - A: Torque and moment refer to the same physical quantity.
R: Both are vector quantities representing rotational effect.
A - A: The centre of gravity of a uniform rod lies at its midpoint.
R: The mass is evenly distributed in a uniform rod.
A - A: Centre of gravity may lie outside the object.
R: The location of CG depends on the shape of the object.
A - A: In an irregular lamina, the CG is found by balancing it on a knife edge.
R: The CG is where the lamina balances in any suspended position.
B - A: Moment of force is maximum when force acts perpendicular to the line joining the pivot.
R: Torque is directly proportional to sine of angle between force and position vector.
A - A: A fan blade exhibits translational motion.
R: In rotational motion, all particles move same distance in same time.
D - A: Frictional force can act as centripetal force in circular motion.
R: On a flat road, friction provides necessary centripetal force to vehicles.
A - A: Torque is a scalar quantity.
R: It depends only on the magnitude of force and distance.
C - A: In uniform circular motion, speed is constant but velocity changes.
R: The direction of motion continuously changes.
A - A: A body in equilibrium always remains at rest.
R: Net force and net torque acting on it are zero.
C - A: In the CG method, plumb lines intersect at the CG of lamina.
R: Plumb line always hangs vertically under gravity.
A - A: Seesaw is balanced when heavier child sits farther from the pivot.
R: Moment depends on both weight and distance.
A - A: A stone tied to a string and whirled in circle moves in straight line when string breaks.
R: A body continues in its state of motion unless acted upon by external force.
A - A: Torque is measured in joules.
R: Torque is a form of energy.
D - A: A spanner requires more force when its handle is shortened.
R: Reducing perpendicular distance reduces the moment for same force.
A - A: Direction of torque is determined using right-hand rule.
R: Torque is a vector quantity.
A - A: In rotational equilibrium, net force must be zero.
R: A body not moving linearly must have zero force.
C - A: Torque can be zero even if force is applied.
R: Moment arm may be zero.
A - A: Lever and pulley work on Newton’s laws.
R: Both apply the principle of moment.
B - A: Uniform circular motion is non-accelerated motion.
R: Velocity remains constant.
D - A: The greater the perpendicular distance, the greater the moment for same force.
R: Moment is inversely proportional to distance.
C - A: The force of gravity can act as centripetal force.
R: Planets revolve around the Sun due to gravitational force.
A - A: Friction acts opposite to direction of motion.
R: Friction is a non-contact force.
C - A: Force × distance = work.
R: Force × perpendicular distance = moment.
B - A: A metre rule balances when moments are unequal.
R: Balance occurs only when clockwise moment = anticlockwise moment.
D - A: Torque causes linear motion.
R: It results from applying force at a distance.
C - A: A rigid body can only undergo translational motion.
R: Rigid body cannot rotate.
D - A: The CG of a body is always inside the object.
R: CG depends only on mass.
D - A: The longer the lever arm, the less force required to rotate.
R: Moment increases with distance from pivot.
A - A: In circular motion, centripetal acceleration acts along the tangent.
R: Tangent represents velocity direction.
C - A: Moment and work have same units.
R: Both involve product of force and displacement.
B - A: The direction of friction is same as motion.
R: Friction opposes motion.
C - A: Force can act without producing moment.
R: Moment depends on point of application and direction.
A - A: Inertia is the cause of centrifugal force.
R: Body resists change in its straight-line motion.
A - A: A spinning fan shows translational motion.
R: Blades move around an axis.
C - A: Torque has magnitude and direction.
R: It is a vector quantity.
A - A: When the net moment is zero, a body is definitely at rest.
R: Zero moment implies zero linear velocity.
C - A: A lever of the third order has load in the middle.
R: In all levers, load lies between effort and fulcrum.
C - A: A body moving in a circle is acted upon by a real outward force.
R: The centrifugal force is real and measurable.
D - A: Rotational motion involves a fixed axis.
R: All particles move in circular path around axis.
A - A: Centre of gravity and centre of mass are always same.
R: Weight and mass always act at same point.
C
True or False
- The moment of a force depends only on the magnitude of the force.
False - Torque and moment are two names for the same physical quantity.
True - The SI unit of moment is newton-metre.
True - Moment of force is a scalar quantity.
False - A force can produce a turning effect only when applied at a distance from the pivot.
True - A longer lever arm reduces the force needed to produce a given moment.
True - If the perpendicular distance is zero, the moment is also zero.
True - Anticlockwise moments are considered positive.
True - In rotational equilibrium, the net force must be zero.
False - Translational equilibrium means the body does not rotate.
False - In equilibrium, the total clockwise moment equals the total anticlockwise moment.
True - Centre of gravity of a circular disc lies at its edge.
False - Centre of gravity always lies inside the body.
False - Plumb line is used to find the CG of an irregular lamina.
True - The CG of a uniform rod is at its midpoint.
True - The CG of a square lamina lies at the point of intersection of its diagonals.
True - In uniform circular motion, speed remains constant but velocity changes.
True - Direction of velocity in circular motion is always along the radius.
False - Centripetal force acts outward from the centre of circular motion.
False - Friction can act as a centripetal force in vehicle turning on a flat road.
True - Centripetal force is a real force.
True - Centrifugal force is a real force.
False - Inertia is responsible for the apparent outward force in circular motion.
True - A spinning fan shows translational motion.
False - A balanced seesaw is in rotational equilibrium.
True - The moment of force is independent of the direction of force.
False - A clockwise moment tends to rotate the body to the right.
True - The unit dyne-centimetre belongs to the CGS system.
True - A force applied at the pivot produces maximum torque.
False - A door opens easily when pushed near the hinge.
False - A fan rotating at constant speed is in uniform circular motion.
True - In uniform circular motion, there is no acceleration.
False - Moment of force is a vector quantity.
True - Lever, seesaw, and spanner work on the principle of moments.
True - If a body is acted upon by equal and opposite forces, it will rotate.
False - The longer the arm of a lever, the greater the moment for the same force.
True - When net moment on a body is not zero, it will rotate.
True - In the verification experiment, the metre rule is kept vertical.
False - Equilibrium implies that the body is at rest.
False - Centre of gravity coincides with the centre of mass in uniform gravity field.
True - The turning effect is greater if the force is applied nearer to the axis.
False - The moment arm is the shortest distance from pivot to the line of action of force.
True - The net force in rotational equilibrium must be non-zero.
False - The steering wheel of a vehicle uses torque for turning.
True - In uniform circular motion, the acceleration is directed towards the centre.
True - Centripetal force changes the direction of velocity in circular motion.
True - In equilibrium, all acting forces and all moments cancel out.
True - A body in uniform circular motion has zero net force.
False - The CG of a triangle lies at the intersection of altitudes.
False - Torque increases with the perpendicular distance for the same force.
True
Long Answer Questions
- Define moment of force. State its SI unit and explain the factors it depends on.
The moment of a force about a point is the product of the force and the perpendicular distance of the line of action of the force from the point. Moment = Force × Perpendicular distance. Its SI unit is newton-metre (N·m). It depends on the magnitude of the force and the perpendicular distance from the pivot.
- Explain clockwise and anticlockwise moments with examples.
A moment is clockwise when the force causes a body to rotate in the clockwise direction, e.g., closing a tap. A moment is anticlockwise when the body rotates in the anticlockwise direction due to applied force, e.g., opening a door from the right side.
- State and explain the principle of moments with a practical example.
The principle of moments states that when a body is in equilibrium, the sum of the clockwise moments about any point is equal to the sum of the anticlockwise moments about the same point. Example: In a balanced see-saw, the moment produced by a heavier child sitting closer is balanced by a lighter child sitting farther from the pivot.
- Describe the conditions for translational and rotational equilibrium.
Translational equilibrium occurs when the net external force acting on a body is zero, resulting in no linear motion. Rotational equilibrium occurs when the sum of clockwise and anticlockwise moments acting on a body is zero, resulting in no rotation.
- Define centre of gravity. State its significance and give examples.
The centre of gravity of a body is the point through which the whole weight of the body appears to act, irrespective of the position of the body. It is important for stability and balance. For example, in a uniform rod, the centre of gravity is at the midpoint; in a circular disc, it is at the centre.
- State the method to determine the centre of gravity of an irregular lamina.
Suspend the lamina from a point and hang a plumb line beside it. Draw a line along the plumb line. Repeat the process from a different point. The point of intersection of the two lines is the centre of gravity.
- Differentiate between translational and rotational motion with examples.
In translational motion, every point on the body moves the same distance in the same time, e.g., a car moving straight. In rotational motion, the body rotates about a fixed axis, and different parts move through different distances, e.g., fan blades.
- What is uniform circular motion? Why is it called accelerated motion?
Uniform circular motion is the motion of a body in a circular path at constant speed. It is called accelerated motion because the direction of velocity changes continuously, resulting in centripetal acceleration directed towards the centre.
- Define centripetal force. Mention two examples from daily life.
Centripetal force is the force directed towards the centre of a circular path that keeps a body in uniform circular motion. Examples: Tension in a string when a stone is whirled in a circle, and friction between car tyres and road while turning.
- Explain the concept of centrifugal force and state whether it is real or apparent.
Centrifugal force is an apparent force that acts outward on a body in circular motion when observed from a rotating frame. It is not a real force but a fictitious force experienced due to the body’s inertia.
- Why is the moment of force considered a vector quantity?
Moment of force has both magnitude and direction. Its direction is determined by the direction of rotation it causes (clockwise or anticlockwise), making it a vector quantity.
- Describe the experiment to verify the principle of moments using a metre rule.
Suspend a uniform metre rule at its midpoint using two spring balances. Hang known weights on both sides at different distances. Adjust until the rule balances horizontally. Calculate moments using weight × distance and verify that clockwise moment equals anticlockwise moment.
- What is the importance of the centre of gravity in designing stable objects?
Objects with a low centre of gravity are more stable. Designers ensure the centre of gravity is as low as possible to prevent toppling. For example, wide-base containers and low-floor buses are more stable due to a low centre of gravity.
- Define torque. How does it differ from force?
Torque is the turning effect of a force about a point or axis, defined as the product of force and perpendicular distance from the pivot. Unlike force, which causes linear motion, torque causes rotation.
- Why does a longer handle in tools like spanners make work easier?
A longer handle increases the perpendicular distance from the pivot, increasing the torque for the same applied force, making it easier to turn objects like nuts or bolts.
- Explain with an example how torque can be zero even if force is applied.
If the force is applied at the pivot (i.e., the perpendicular distance is zero), then torque = Force × 0 = 0. For example, pushing directly at the hinge of a door produces no turning effect.
- A bicycle is an example of both translational and rotational motion. Explain.
As the bicycle moves forward (translational motion), its wheels rotate about their axes (rotational motion). Hence, both motions occur simultaneously.
- Describe how friction provides the necessary centripetal force for a car turning on a flat road.
As the car turns, the tyres tend to move outward due to inertia. Friction between the tyres and road acts inward, providing the necessary centripetal force to keep the car on the circular path.
- Why do passengers experience an outward push when a vehicle turns sharply?
Due to inertia, the passengers tend to move in a straight line while the vehicle turns, resulting in an outward push relative to the vehicle – an effect attributed to centrifugal force.
- Explain why moment arm is crucial in determining the torque.
The moment arm (perpendicular distance from pivot) determines how effectively a force can produce rotation. Greater the distance, greater the torque for the same force.
- What happens to the moment of a force if the direction of the force is not perpendicular to the lever arm?
The moment becomes less effective because only the perpendicular component of the force contributes to the moment. Maximum moment occurs when the force is perpendicular to the lever arm.
- How does balancing a ruler on a knife edge demonstrate the principle of moments?
When weights are hung on either side at appropriate distances, the clockwise and anticlockwise moments can be adjusted to be equal, allowing the ruler to balance horizontally, thus verifying the principle of moments.
- What do you understand by the line of action of a force?
The line of action of a force is the imaginary line along which the force acts and extends in both directions through the point of application.
- Why is it easier to open a door by pushing at its edge rather than near the hinge?
Because the perpendicular distance from the hinge (pivot) is more at the edge, the same force produces a larger moment, making it easier to rotate the door.
- Explain the difference between real and fictitious forces with examples.
Real forces have actual sources, like tension and gravity, while fictitious forces, like centrifugal force, appear only in non-inertial (accelerating or rotating) frames of reference and have no real origin.
- A stone is tied to a string and whirled in a circle. What force acts on it and in which direction?
Tension in the string acts as the centripetal force, and it always acts towards the centre of the circular path.
- How does speed remain constant but velocity change in uniform circular motion?
Speed, being scalar, remains constant, but velocity, a vector, changes continuously due to the change in direction, even though its magnitude remains the same.
- What causes the continuous change in direction of an object in circular motion?
The continuously acting centripetal force directed towards the centre keeps changing the direction of velocity, causing circular motion.
- What is the role of a plumb line in finding the centre of gravity of an irregular body?
A plumb line helps draw a vertical line from a suspension point; by repeating the process from different points, the intersection of these lines gives the centre of gravity.
- Why does a gymnast lower her centre of gravity while balancing?
Lowering the centre of gravity increases stability and helps the gymnast maintain balance and resist toppling.
- How does a tightrope walker maintain balance?
By extending their arms or holding a balancing rod, the tightrope walker lowers and broadens the base of their centre of gravity, enhancing stability.
- Why is the centre of gravity of a ring at its geometric centre though there’s no mass there?
Because the mass is uniformly distributed along the ring’s circumference, the weight acts as though it is concentrated at the geometric centre.
- Why do we experience a jerk while taking a sharp turn in a bus?
Due to inertia, our body tends to continue in a straight path while the bus turns, making us feel an outward jerk, an effect attributed to centrifugal force.
- What is the significance of direction in torque?
The direction of torque determines whether the force causes clockwise or anticlockwise rotation, which is essential in calculating net torque in systems.
- Describe a situation where net force is zero but net moment is not zero.
When two equal and opposite forces act at different points on a body, they cancel each other in terms of force (net force = 0) but create a couple, causing rotation (net moment ≠ 0).
- Why is torque said to be a turning effect and not a pushing or pulling effect?
Because torque arises due to a force applied at a distance from the axis of rotation, producing rotational motion instead of linear displacement.
- Explain why passengers lean inward on a curved track in a bike ride.
Leaning inward aligns the resultant force (gravitational and frictional) towards the centre, countering centrifugal effects and maintaining balance.
- How does a longer lever reduce the effort needed to lift a heavy load?
A longer lever increases the perpendicular distance from the fulcrum, increasing the moment for the same effort, thus reducing the required force.
- Why should the base of a body be wide for better stability?
A wide base ensures that the vertical line through the centre of gravity falls within the base area, which prevents toppling and enhances stability.
- A uniform disc is suspended freely. Why does it rest horizontally?
Because its centre of gravity lies at its geometric centre, and when suspended from this point, the disc remains in equilibrium.
- How can torque be increased without changing force?
By increasing the perpendicular distance between the line of action of the force and the pivot (i.e., increasing the moment arm).
- Explain why a mechanic uses a long-handled wrench to loosen tight bolts.
A longer handle increases the moment arm, generating greater torque with the same applied force, making it easier to turn tight bolts.
- Why does a rotating stone tied to a string move tangentially when the string breaks?
Because once the centripetal force is removed, the stone continues along the tangent to the circle due to its inertia.
- How does friction help in circular motion of vehicles on roads?
Friction between tyres and road provides the necessary centripetal force that allows the vehicle to follow the curved path safely.
- Why do people fall outward when a merry-go-round spins fast?
Due to inertia, the body wants to move in a straight line, and this effect appears as an outward push, commonly explained using centrifugal force.
- What do you understand by net torque?
Net torque is the sum of all torques (considering direction) acting on a body; if it is zero, the body is in rotational equilibrium.
- Explain the role of the centre of gravity in the design of sports cars.
Sports cars have a low centre of gravity, which provides better stability, especially during high-speed turns, reducing the risk of overturning.
- What are the advantages of keeping the centre of gravity low in buildings and bridges?
A low centre of gravity improves structural stability and resistance against overturning during natural calamities like earthquakes or strong winds.
- What happens to rotational motion if net torque is zero?
The body either remains at rest or continues rotating uniformly—indicating it is in rotational equilibrium.
- Why does a hanging object always come to rest with its centre of gravity vertically below the point of suspension?
Because this position minimizes potential energy and ensures stable equilibrium where no unbalanced torque acts on the body.
Give Reasons
- Give reason: A door opens easily when pushed at its edge rather than near the hinge.
Because the perpendicular distance from the hinge is greater at the edge, producing a greater moment for the same force. - Give reason: A spanner with a long handle is more effective than a short one.
Because a longer handle increases the moment arm, resulting in greater torque for the same applied force. - Give reason: The moment of a force becomes zero when applied at the pivot.
Because the perpendicular distance from the pivot is zero, and moment = force × distance. - Give reason: The centre of gravity of a circular disc lies at its geometric centre.
Because the mass is uniformly distributed about the centre in all directions. - Give reason: A uniform metre scale balances at its midpoint.
Because its centre of gravity lies at the midpoint due to uniform mass distribution. - Give reason: A seesaw is balanced when children of different weights sit at different distances.
Because the clockwise and anticlockwise moments become equal as per the principle of moments. - Give reason: A body remains in rotational equilibrium when net moment is zero.
Because there is no unbalanced turning effect acting on the body. - Give reason: The steering wheel is made large in diameter.
To increase the moment arm and produce more torque with less effort. - Give reason: A cyclist leans inward while turning on a curved track.
To balance the outward centrifugal effect and maintain equilibrium by aligning the resultant force through the body. - Give reason: Vehicles are made with a low centre of gravity.
To improve stability and reduce the risk of overturning on turns. - Give reason: A plumb line is used to find the centre of gravity of an irregular lamina.
Because it provides a vertical reference line from the suspension point to locate the centre of gravity by intersection. - Give reason: In a circular motion, the speed is constant but the velocity is not.
Because the direction of motion changes continuously, altering the velocity vector. - Give reason: A body moves tangentially when the string in a circular motion breaks.
Because of inertia, the body continues in the direction of motion at the point of release. - Give reason: Centrifugal force is not a real force.
Because it does not arise due to any physical interaction but is only observed in a rotating frame. - Give reason: A person feels pushed outward while taking a sharp turn in a vehicle.
Because of inertia, the body resists the change in direction and appears to be pushed outward. - Give reason: Torque is a vector quantity.
Because it has both magnitude and direction (clockwise or anticlockwise). - Give reason: A fan exhibits rotational motion but not translational motion.
Because the blades rotate about a fixed axis without changing position. - Give reason: In equilibrium, net force and net moment are zero.
Because the body must not accelerate linearly or rotate. - Give reason: A body in translational equilibrium does not move.
Because the net external force acting on it is zero. - Give reason: A metre rule can be used to verify the principle of moments.
Because it is a uniform rod with a known length and balance point, allowing moment calculations. - Give reason: A circular path requires centripetal force for motion.
Because a continuous inward force is needed to change the direction of the velocity vector. - Give reason: A hanging object settles with its centre of gravity directly below the point of suspension.
Because that is the position of stable equilibrium with minimum potential energy. - Give reason: Wide-base objects are more stable.
Because the line through the centre of gravity is less likely to fall outside the base. - Give reason: Tension in the string acts as centripetal force during circular motion.
Because it continuously pulls the body toward the centre of the circle. - Give reason: Torque depends on the perpendicular distance from the axis.
Because moment = force × perpendicular distance. - Give reason: The moment is greater if the force is applied perpendicular to the lever arm.
Because this maximizes the perpendicular distance and thus the torque. - Give reason: In uniform circular motion, acceleration is directed towards the centre.
Because it results from the change in direction of velocity due to centripetal force. - Give reason: A door cannot be opened by applying force at its hinges.
Because the moment arm is zero, so no turning effect is produced. - Give reason: Balancing becomes easier when the centre of gravity is lowered.
Because the object becomes more stable and less likely to topple. - Give reason: Rotational equilibrium is attained when the sum of moments is zero.
Because the clockwise and anticlockwise moments cancel each other. - Give reason: The direction of torque is important.
Because it determines whether the body turns clockwise or anticlockwise. - Give reason: A body’s centre of gravity may lie outside the body.
Because it depends on the distribution of mass, not necessarily within the material part. - Give reason: A ring’s centre of gravity lies at its geometric centre.
Because the mass is uniformly distributed around the centre. - Give reason: Vehicles skid on sharp turns at high speed.
Because the required centripetal force becomes greater than the frictional force available. - Give reason: A wrench is more effective when held farther from the bolt.
Because it increases the torque for the same applied force. - Give reason: Friction provides centripetal force to a turning car.
Because it acts inward between the tyres and the road, enabling circular motion. - Give reason: Only the perpendicular component of force produces torque.
Because moment depends on the shortest distance from pivot to line of action. - Give reason: A couple produces pure rotation without translation.
Because equal and opposite forces act at different points, canceling net force but not moment. - Give reason: A rotating wheel in air eventually stops.
Because of opposing torque due to air resistance and bearing friction. - Give reason: In uniform circular motion, velocity keeps changing.
Because the direction of motion is continuously changing. - Give reason: In a balanced ruler, clockwise and anticlockwise moments are equal.
Because the system is in rotational equilibrium. - Give reason: The point of suspension can be used to determine the centre of gravity.
Because when suspended freely, the vertical from the point passes through the centre of gravity. - Give reason: Tools with long handles are preferred in mechanical work.
Because they require less force to produce the same torque. - Give reason: Speed remains constant in uniform circular motion, but not velocity.
Because velocity is a vector and its direction changes at every point on the path. - Give reason: The line of action of force is important in moment calculation.
Because the moment depends on its perpendicular distance from the axis. - Give reason: Centripetal force does no work on the body in circular motion.
Because the force acts perpendicular to the displacement at every point. - Give reason: Centre of gravity is important in construction of bridges.
Because proper distribution of weight ensures stability and prevents collapse. - Give reason: Objects topple when their centre of gravity is raised beyond the base.
Because the line through the centre of gravity falls outside the base, making it unstable. - Give reason: A child sitting farther from the pivot lifts a heavier child closer to the pivot.
Because greater moment is produced due to a larger perpendicular distance. - Give reason: In an experiment, unequal weights can balance if placed at unequal distances.
Because the moments can be equal even if the weights differ, satisfying the principle of moments.
Arrange the Words
Case Studies
Case Study 1:
Ravi is trying to open a tight nut using a spanner. At first, he holds it close to the nut and struggles. Then he shifts his hand farther from the nut and opens it easily.
Q1. What physical quantity helped him open the nut easily?
Moment of force
Q2. Why was it easier to open the nut with hand farther from the pivot?
Because the perpendicular distance increased, resulting in greater torque.
Case Study 2:
A uniform metre scale is balanced horizontally on a knife edge at the 50 cm mark. A 200 g weight is suspended at the 30 cm mark. To balance it again, a student places a weight on the other side.
Q1. What principle is being applied here?
Principle of moments
Q2. Where should a 100 g weight be placed to balance the scale?
At the 70 cm mark
Case Study 3:
A ceiling fan rotates about its central shaft without moving from its place.
Q1. What type of motion is this?
Rotational motion
Q2. Which point remains fixed in this motion?
Axis of rotation (pivot)
Case Study 4:
A circular disc is suspended from a pin at its edge. When freely suspended, it comes to rest with a vertical line drawn from the suspension point passing through its centre.
Q1. What is the name of the point the vertical line passes through?
Centre of gravity
Q2. What is the shape of the object in this case?
Circular disc
Case Study 5:
A child is playing on a seesaw with her friend. The heavier child sits closer to the fulcrum while the lighter child moves farther.
Q1. What condition is satisfied for the seesaw to be balanced?
Clockwise moment = Anticlockwise moment
Q2. What physical quantity is being balanced?
Moments
Case Study 6:
A motorcyclist takes a circular turn at high speed and skids.
Q1. Which force provides the required centripetal force?
Friction between tyres and road
Q2. Why does the motorcycle skid?
Because the required centripetal force exceeds the available frictional force
Case Study 7:
A stone is tied to a string and whirled in a circle. Suddenly, the string breaks.
Q1. What path does the stone follow after the string breaks?
It moves tangentially to the circle
Q2. Which law explains this motion?
Law of inertia (Newton’s First Law)
Case Study 8:
In an experiment to verify the principle of moments, a student uses a uniform metre scale supported on a knife edge with different weights suspended on either side.
Q1. What is the expected result when equilibrium is achieved?
Sum of clockwise moments = Sum of anticlockwise moments
Q2. What kind of equilibrium is demonstrated?
Rotational equilibrium
Case Study 9:
A mason designs a structure with a wide base and keeps heavy stones near the bottom.
Q1. Why is the base kept wide?
To lower the centre of gravity and increase stability
Q2. What advantage does a low centre of gravity provide?
Prevents toppling and improves balance
Case Study 10:
A spinning top rotates quickly and stays upright, but as it slows down, it starts to wobble.
Q1. What type of motion is seen in the spinning top?
Rotational motion
Q2. Why does the top wobble when it slows down?
Because the stabilizing torque reduces, and imbalance causes it to topple
Case Study 11:
In a science lab, students are asked to calculate the torque produced by a 5 N force applied at 0.3 m from the pivot.
Q1. What is the torque?
1.5 N·m
Q2. What formula is used?
Torque = Force × Perpendicular distance
Case Study 12:
A uniform lamina is suspended from two different points, and vertical lines are drawn using a plumb line.
Q1. What is the intersection of the two lines?
Centre of gravity
Q2. What is the method called?
Plumb line method
Case Study 13:
A gymnast spreads her arms and legs while balancing on a beam.
Q1. Why does she do this?
To increase her base and lower the centre of gravity
Q2. How does this help?
Improves stability
Case Study 14:
During a carnival ride, passengers feel pushed outward when the ride turns rapidly.
Q1. What is this outward force called?
Centrifugal force
Q2. Is it a real force?
No, it is a pseudo or apparent force
Case Study 15:
A steering wheel is turned using force at the rim rather than near the centre.
Q1. Why is force applied at the rim?
To increase the perpendicular distance and get greater moment
Q2. What effect does this produce?
Greater torque, making it easier to turn
Case Study 16:
A student rotates a small metal disc suspended by a thread. It remains upright due to rapid spinning.
Q1. What keeps it upright?
Centripetal force and rotational stability
Q2. What causes it to eventually fall?
Friction and air resistance reduce rotation speed
Case Study 17:
A stone is tied to a string and whirled overhead in a horizontal circle. The string provides an inward pull.
Q1. What is the role of the string in this motion?
It provides the centripetal force
Q2. What happens when the string is cut?
The stone flies off tangentially due to inertia
Case Study 18:
An unbalanced rod is placed on a fulcrum, with one side longer than the other.
Q1. What condition is violated?
The principle of moments
Q2. What will happen to the rod?
It will rotate about the fulcrum and become unbalanced
Case Study 19:
A car takes a turn on a flat road.
Q1. What force keeps the car in the curved path?
Frictional force acting as centripetal force
Q2. What happens if the road is slippery?
Car may skid outward due to insufficient friction
Case Study 20:
A see-saw is used where a heavier adult sits closer to the pivot and a lighter child sits farther.
Q1. What concept is used to achieve balance?
Torque = Force × distance; moments are equal
Q2. What type of lever is a seesaw?
Class I lever
Numericals
- A force of 4 N is applied at a perpendicular distance of 3 m from the axis. Calculate the moment of the force.
Ans: Moment = F × d = 4 × 3 = 12 N·m
- A spanner is used to open a nut by applying a force of 20 N at a distance of 0.2 m. Find the moment.
Ans: Moment = 20 × 0.2 = 4 N·m
- Calculate the perpendicular distance if the moment is 10 N·m and the force applied is 2 N.
Ans: d = Moment / Force = 10 / 2 = 5 m
- A force of 500 dyne acts at 10 cm from a point. Find the moment in dyne-cm.
Ans: Moment = 500 × 10 = 5000 dyne-cm
- A force of 7.5 N is applied at a perpendicular distance of 0.8 m. Calculate the torque.
Ans: τ = 7.5 × 0.8 = 6 N·m
- What torque is required to rotate a lever if 10 N is applied at 6 cm?
Ans: τ = 10 × 0.06 = 0.6 N·m
- A force of 50 N is applied to a lever at an angle such that its effective perpendicular distance is 0.5 m. Find the torque.
Ans: τ = 50 × 0.5 = 25 N·m
- If the torque acting on a body is 30 N·m and the force applied is 15 N, find the distance of the force from the pivot.
Ans: d = 30 / 15 = 2 m
- A force of 60 N is applied at a perpendicular distance of 1.2 m. What is the turning effect?
Ans: τ = 60 × 1.2 = 72 N·m
- A wrench is 0.25 m long. A force of 100 N is applied. Calculate the torque.
Ans: τ = 100 × 0.25 = 25 N·m
- A rod is balanced on a pivot. A 5 N weight is placed 2 m to the left. Where must a 10 N weight be placed on the right to balance it?
Ans: 5 × 2 = 10 × d ⇒ d = 1 m
- A uniform metre rule balances at 50 cm. A 200 g weight is placed at 20 cm. Find the position to place a 100 g weight to balance.
Ans: 200 × (50 – 20) = 100 × (x – 50) ⇒ 6000 = 100x – 5000 ⇒ x = 110 cm (Beyond rule)
- A uniform meter scale has weights of 3 N at 10 cm and 6 N at 90 cm. Find the point where the scale balances.
Ans: 3×(x–10) = 6×(90–x) ⇒ 3x–30 = 540–6x ⇒ 9x = 570 ⇒ x = 63.3 cm
- A 2 N force is applied at 3 m to the left of the pivot. A 6 N force is applied to the right. At what distance should it be applied to balance?
Ans: 2×3 = 6×d ⇒ d = 1 m
- A 40 cm uniform rod is supported at 10 cm. A 50 g weight is placed at 0 cm. Find where a 100 g weight should be placed to balance it.
Ans: 50×(10–0) = 100×(x–10) ⇒ 500 = 100x – 1000 ⇒ x = 15 cm
- A metre rule has 2 kg at 20 cm and 1 kg at 80 cm. Find the point of balance.
Ans: 2×(x–20) = 1×(80–x) ⇒ 2x – 40 = 80 – x ⇒ 3x = 120 ⇒ x = 40 cm
- 10 N is placed 2 m to left and 5 N is placed on right. Find point of balance.
Ans: 10×2 = 5×x ⇒ x = 4 m
- A 1.5 N weight is 3 cm from pivot. What equal force on opposite side will balance it at 6 cm?
Ans: 1.5×3 = F×6 ⇒ F = 0.75 N
- 3 kg weight at 40 cm and 2 kg at 80 cm. Where is the pivot?
Ans: 3×(x–40) = 2×(80–x) ⇒ x = 55 cm
- A 500 g weight at 10 cm, 1 kg at 40 cm. Where should pivot be to balance?
Ans: 0.5×(x–10) = 1×(40–x) ⇒ x = 30 cm
- A uniform rod of length 1 m is balanced at 50 cm. Where is its centre of gravity?
Ans: At 50 cm, midpoint
- C.G. of a square lamina lies at which point?
Ans: Intersection of diagonals
- Find the C.G. of a uniform circular disc of radius 20 cm.
Ans: At geometric centre
- C.G. of an equilateral triangle lies at the point of intersection of its…?
Ans: Medians
- A body is irregular. How to locate its C.G.?
Ans: By suspending from two different points and marking plumb lines
- A circular lamina is suspended from a point on its edge. The plumb line passes through the centre. What does it indicate?
Ans: C.G. is at the geometric centre
- In an L-shaped object, is the C.G. inside the material?
Ans: No, it may lie outside
- A uniform disc is suspended. What happens if plumb line doesn’t pass through centre?
Ans: Body is not balanced
- When does a body topple over?
Ans: If C.G. falls outside the base
- Why is C.G. important in vehicle design?
Ans: Lower C.G. gives better stability
- A body moves 5 m straight in 2 s. What kind of motion is it?
Ans: Translational
- A ceiling fan spins but does not change place. Type of motion?
Ans: Rotational
- A car moving on a straight road is in…?
Ans: Translational motion
- A wheel rotating about an axle performs…?
Ans: Rotational motion
- Can a body have both translational and rotational motion?
Ans: Yes, e.g., rolling ball
- A 1 kg object moves in a circle of radius 2 m with 4 m/s speed. What is centripetal force?
Ans: F = mv²/r = 1×16/2 = 8 N
- A stone of mass 500 g is whirled in circle of radius 1 m at 2 m/s. Find centripetal force.
Ans: F = 0.5×4/1 = 2 N
- A car moves in a circle of 10 m radius at 5 m/s. Mass = 800 kg. Find centripetal force.
Ans: F = 800×25/10 = 2000 N
- What force keeps a satellite in circular orbit?
Ans: Centripetal force (gravitational)
- In a turning vehicle, passengers feel pushed outward due to…?
Ans: Centrifugal force
- Is centrifugal force real or apparent?
Ans: Apparent
- Give one example of centripetal force in daily life.
Ans: Friction between tyre and road
- A bucket tied to a string is rotated in a vertical circle. What force acts inward?
Ans: Tension in the string
- A body in circular motion has constant speed. Is velocity constant?
Ans: No, velocity changes due to direction
- What is the direction of centripetal force?
Ans: Always toward the centre
- A meter rule is balanced at its centre. A 2 N weight is placed at 30 cm. Where to place 1 N weight?
Ans: 2×(50–30) = 1×(x–50) ⇒ 40 = x–50 ⇒ x = 90 cm
- A 3 kg object on a turntable moves in a 2 m radius at 2 m/s. Find centripetal force.
Ans: F = 3×4/2 = 6 N
- A uniform lamina is suspended and two plumb lines intersect at a point. What is that point?
Ans: Centre of Gravity
- A torque of 20 N·m is required. If distance is 0.5 m, how much force is needed?
Ans: F = 20 / 0.5 = 40 N
- A force of 100 N produces 5 m torque. Find perpendicular distance.
Ans: d = 5 / 100 = 0.05 m
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