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Rotational Motion — NEET UG Physics PYQs

320 previous year questions from Rotational Motion with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

320 questionsPhysicsSolutions on every page
1

A solid sphere A of radius R and mass M is attached at a point to a smaller solid sphere B of radius r

NEET 2026 Solution View → 2

The angular speed of a flywheel is increased from 600 rpm to 1200 rpm in 10 s. The number of revolutions completed by the flywheel during this time is :

NEET 2026 Solution View → 3

A thin wire of length ' L ' and linear mass density ' m ' is bent into a circular ring (in x - y plane) with centre ' C ' as shown in figure. The moment of inertia of the ring abou

NEET 2026 Solution View → 4

A thin horizontal disc is rotating about a vertical axis passing through its fixed centre O . Its angular momentum is L_A and L_B computed about points A and B , respectively, with

NEET 2026 Solution View → 5

The Sun rotates around its centre once in 27 days. What will be the period of revolution if the Sun were to expand to twice its present radius without any external influence? Assum

NEET 2025 Solution View → 6

A sphere of radius R is cut from a larger solid sphere of radius 2 R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of th

NEET 2025 Solution View → 7

The radius of gyration of a solid sphere of mass 5 kg about X Y is 5 m as shown in figure. The radius of the sphere is 5 x 7 ~m , then the value of x is:

NEET 2024 Solution View → 8

A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is v in the direction shown, which one of the following options is correct (

NEET 2024 Solution View → 9

The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is 2400 ~g ~cm ^2 . The length of the 400 g rod is nearly:

NEET 2024 Solution View → 10

The ratio of radius of gyration of a solid sphere of mass M and radius R about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its ax

NEET 2023 Solution View → 11

An energy of 484 ~J is spent in increasing the speed of a flywheel from 60 rpm to 360 rpm . The moment of inertia of the flywheel is:

NEET 2022 Solution View → 12

The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter

NEET 2022 Solution View → 13

From a circular ring of mass M and radius R an arc corresponding to a 90 ° sector is removed. The moment of inertia of the remaining part of the ring about an axis passing thr

NEET 2021 Solution View → 14

A uniform rod of length 200   cm and mass 500   g is balanced on a wedge placed at 40   cm mark. A mass of 2   kg is suspended from the rod at 20   cm and

NEET 2021 Solution View → 15

The angular speed of the wheel of a vehicle is increased from, 360   rpm to 1200   rpm in 14   s . Its angular acceleration is,

NEET 2020 Solution View → 16

Find the torque about the origin when a force of 3 j ^   N acts on a particle whose position vector is 2 k ^   m .

NEET 2020 Solution View → 17

Assertion : A person standing on a rotating platform suddenly stretched his arms. The platform slows down. Reason : This happens as angular momentum is conserved.

AIIMS 2019 Solution View → 18

Given v_ C M =2 ~m ~s ⁻¹ , m=2 ~kg , R=4 ~m Find the angular momentum of ring about its origin if it is in pure rolling.

AIIMS 2019 Solution View → 19

Assertion : For a system of particles under central force field, the total angular momentum is conserved. Reason : The torque acting on such a system is zero.

AIIMS 2019 Solution View → 20

A disc of radius 20 ~cm and mass 1 / 2 ~kg is rolling on an inclined plane. Find out the frictional force such that disc performs pure rolling.

AIIMS 2019 Solution View → 21

A thin wire of mass M and length L is bent to form a circular ring. The moment of inertia of this ring about its axis is

AIIMS 2019 Solution View → 22

The radius of gyration of a thin uniform circular disc (of radius R ) about an axis passing through its centre and lying in its plane is

AIIMS 2019 Solution View → 23

Two disc having mass ratio 1 / 2 and diameter ratio 2 / 1 then find ratio of moment of inertia.

JIPMER 2019 Solution View → 24

A solid cylinder of mass 2 ~kg and radius 50 ~cm rolls up an inclined plane of angle inclination 30^ . The centre of mass of cylinder has speed of 4 ~m / s . The distance travelled

NEET 2019 Solution View → 25

A solid cylinder of mass 2   k g and radius 4   c m is rotating about its axis at the rate of 3   rpm . The torque required to stop after 2 π revolutions is

NEET 2019 Solution View → 26

A disc of radius 2   m and mass 100   k g rolls on a horizontal floor. Its centre of mass has speed of 20   c m   s - 1 . How much work is needed to stop it?

NEET 2019 Solution View → 27

An elevator starts going up with an acceleration 2 ~m / s ^2 . If radius of the wheel attached to the elevator is 0.1 ~m , then find out number of revolutions in 10 ~s .

AIIMS 2018 Solution View → 28

Assertion : Torque on a body can be zero event if there is a net forces on it. Reason : Torque and force on a body are always perpendicular.

AIIMS 2018 Solution View → 29

A uniform rod of mass m and length l₀ is pivoted at one end and is hanging in the vertical direction. The period of small angular oscillations of the rod is

JIPMER 2018 Solution View → 30

Find ratio of radius of gyration of a disk and ring of same radii at their tangential axis in plane.

JIPMER 2018 Solution View → 31

A disc of moment of inertia 2 ~kg - m ^2 revolving with 8 rad / s is placed on another disc of moment of inertia 4 ~kg - m ^2 revolving 4 rad / s . What is the angular frequency of

JIPMER 2018 Solution View → 32

A solid sphere is rotating freely about its symmetric axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities wo

NEET 2018 Solution View → 33

Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R . They all spin with the same angular speed ω

NEET 2018 Solution View → 34

A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy K t as well as rotational kinetic energy K r simultaneously. The ratio K t : K

NEET 2018 Solution View → 35

Assertion : A solid sphere is rolling on a rough horizontal surface. Acceleration of contact point is zero. Reason : A solid sphere can roll on the smooth surface.

AIIMS 2017 Solution View → 36

A communication satellite of 500 ~kg revolves around the earth in a circular orbit of radius 4.0 10^7 ~m in the equatorial plane of the earth from west to east. The magnitude of an

AIIMS 2017 Solution View → 37

A bicycle wheel rolls without slipping on a horizontal floor. Which one of the following is true about the motion of points on the rim of the wheel, relative to the axis at the whe

JIPMER 2017 Solution View → 38

A cylinder rolls up an inclined plane, reaches some height and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cyl

JIPMER 2017 Solution View → 39

A B C is right angled triangular plane of uniform thickness. The sides are such that A B B C as shown in figure. I₁, I₂, I₃ are moments of inertia about A B, B C and A C , respecti

JIPMER 2017 Solution View → 40

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N ?

NEET 2017 Solution View → 41

Two discs of same moment of inertia ( I )   are rotating in same sense about their regular axis passing through centre and perpendicular to the plane of disc with angular velo

NEET 2017 Solution View → 42

Assertion : Value of radius of gyration of a body depends on axis of rotation. Reason : Radius of gyration is root mean square distance of particle of the body from the axis of rot

AIIMS 2016 Solution View → 43

A sphere of mass 10 ~kg and radius 0.5 ~m rotates about a tangent. The moment of inertia of the sphere is

AIIMS 2016 Solution View → 44

A ball of radius R rolls without slipping. Find the fraction of total energy associated with its rotational energy, if the radius of the gyration of the ball about an axis passing

JIPMER 2016 Solution View → 45

A solid sphere of mass M and radius 2 R rolls down an inclined plane of height h without slipping. The speed of its centre of mass when it reaches the bottom is

JIPMER 2016 Solution View → 46

Two rotating bodies, A and B of masses, m and 2 m with moments of inertia. I A and I B   I B > I A have equal kinetic energy of rotation. If, L A and L B be their angular

NEET 2016 Solution View → 47

A solid sphere of mass, m and radius, R is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angula

NEET 2016 Solution View → 48

A light rod of length, l has two masses, m 1 and m 2 attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the ce

NEET 2016 Solution View → 49

From a disc of radius R and mass M , a circular hole of diameter R , whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc abo

NEET 2016 Solution View → 50

A uniform circular disc of radius 50  cm at rest is free to rotate about an axis which is perpendicular to its plane and passes through its centre. It is subjected to a torque

NEET 2016 Solution View → 51

A disk and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plan

NEET 2016 Solution View → 52

An air compressor is powered by a 200 rad / s electric motor using a V-belt drive. The motor pulley is 8 ~cm in radius, and the tension in the V -belt is 135 ~N on one side and 45

AIIMS 2015 Solution View → 53

Assertion : A judo fighter in order to throw his opponent on to the mat tries to initially bend his opponent and then rotate him around his hip. Reason : As the mass of opponent is

AIIMS 2015 Solution View → 54

A tangential force acting on the top of sphere of mass m kept on a rough horizontal place as shown in figure. If the sphere rolls without slipping, then the acceleration with which

JIPMER 2015 Solution View → 55

A solid sphere is set into motion on a rough horizontal surface with a linear speed v in the forward direction and an angular speed V R in the anticlockwise direction as shown in f

JIPMER 2015 Solution View → 56

A force F → = α i ^ + 3 j ^ + 6 k ^ is acting at a point r → = 2 i ^ - 6 j ^ - 12 k ^ . The value of α for which angular momentum about origin is conserved is

NEET 2015 Solution View → 57

A mass m moves in a circle on a smooth horizontal plane with velocity v 0 at a radius R 0 . The mass is attached to a string which passes through a smooth hole in plane as shown. T

NEET 2015 Solution View → 58

An automobile moves on a road with a speed of 54 k m h - 1 . The radius of its wheels is 0.45 m and the moment of inertia of the wheel about its axis of rotation is 3 k g m 2 . If

NEET 2015 Solution View → 59

Three identical spherical shells, each of mass m and radius r are placed as shown in the figure. Consider an axis X X ′ which is touching the two shells and passing through t

NEET 2015 Solution View → 60

A child is standing with folded hands at the centre of a platform rotating about its central axis. The kinetic energy of the system is K . The child now stretches his arms so that

AIIMS 2014 Solution View → 61

A particle moves in a circular path with decreasing speed. Choose the correct statement.

AIIMS 2014 Solution View → 62

Assertion: The velocity of a body at the bottom of an inclined plane of given height is more when it slides down the plane compared to when it is rolling down the same plane. Reaso

AIIMS 2014 Solution View → 63

If applied torque on a system is zero, i.e., =0 , then for that system

JIPMER 2014 Solution View → 64

The ratio of the acceleration for a solid sphere (mass ‘ m ' and radius R ) rolling down an incline of angle ‘ θ ' without slipping and slipping down the i

NEET 2014 Solution View → 65

A solid cylinder of mass 50   k g and radius 0.5   m is free to rotate about horizontal axis. A massless string is wound round the cylinder with one end attached to it an

NEET 2014 Solution View → 66

Assertion : Moment of inertia is always constant. Reason : Angular moment is conserved that is why moment of inertia is constant.

AIIMS 2013 Solution View → 67

Given that force (5 i +7 j -3 k ) N acts on a particle at position ( i + j - k ) m . Find torque of this force on the particle about origin.

AIIMS 2013 Solution View → 68

Two rigid bodies A and B rotate with rotational kinetic energies E_A and E_B respectively. The moments of inertia of A and B about the axis of rotation are I_A and I_B respectively

JIPMER 2013 Solution View → 69

A rod P Q of mass M and length L is hinged at end P . The rod is kepts horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular a

NEET 2013 Solution View → 70

A small object of uniform density rolls up a curved surface with an initial velocity v^ . It reaches up to a maximum height of 3 v^2 4 g with respect to the initial position. The o

NEET 2013 Solution View → 71

The discs are rotating about their axes, normal to the discs and passing through the centres of the discs. Disc D₁ has 2 ~kg mass and 0.2 ~m radius and initial angular velocity of

NEET 2013 Solution View → 72

The ratio of radii of gyration of a circular ring and a circular disc, of the same mass and radius about an axis passing through their centres and perpendicular to their planes are

NEET 2013 Solution View → 73

A 4 ~kg roller is attached to a massless spring of spring constant k=100 ~N / m . It rolls without slipping along a frictionless horizontal road. The roller is displaced from its e

AIIMS 2012 Solution View → 74

A solid cylinder, a circular disc, a solid sphere and a hollow cylinder of the same radius are placed on an inclined plane. Which of the following will have maximum acceleration at

AIIMS 2012 Solution View → 75

If 2 ~kg mass is rotating on a circular path of radius 0.8 ~m with angular velocity of 44 rad / sec . If radius of the path becomes 1 ~m , then what will be the value of angular ve

AIIMS 2012 Solution View → 76

A wheel of radius 0.4 m can rotate freely about its axis as shown in the figure. A string is wrapped over its rim and a mass of 4 kg is hung. An angular acceleration of 8 ~rad/s ⁻²

JIPMER 2012 Solution View → 77

When a ceiling fan is switched on, it makes 10 revolution in the first 3 s. Assuming a uniform angular acceleration, how many rotation it will make in the next 3 s ?

JIPMER 2012 Solution View → 78

When a mass is rotating in a plane about a fixed point, its angular momentum is directed along

NEET 2012 Solution View → 79

A B C is an equilateral triangle with O as its centre. F ₁, ~F ₂ and F ₃ represent three forces acting along the sides A B, B C and A C respectively. If the total torque about O is

NEET 2012 Solution View → 80

A circular platform is mounted on a frictionless vertical axle. Its radius R=2 ~m and its moment of inertia about the axle is 200 ~kg ~m ^2 . It is initially at rest. A 50 ~kg man

NEET 2012 Solution View → 81

The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through

NEET 2012 Solution View → 82

What is the moment of inertia for a solid sphere w.r.t. a tangent touching to its surface?

AIIMS 2011 Solution View → 83

Point masses 1,2,3 and 4 kg are lying at the points (0,0,0),(2,0,0),(0,3,0) and (-2,-2,0) respectively. The moment of inertia of this system about X -axis will be

JIPMER 2011 Solution View → 84

The radius of gyration of a body about an axis at a distance 6 cm from its centre of mass is 10 cm . Then, its radius of gyration about a parallel axis through its centre of mass w

JIPMER 2011 Solution View → 85

A solid sphere and a hollow sphere of the same material and of a same size can be distinguished without weighing

JIPMER 2011 Solution View → 86

A small mass attached to a string rotates on frictionless table top as shown. If the tension is the string is increased by pulling the string causing the radius of the circular mot

NEET 2011 Solution View → 87

The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid-point and perpendicular to its length is I₀ . Its moment of inertia about a

NEET 2011 Solution View → 88

The instantaneous angular position of a point on a rotating wheel is given by the equation Q(t)=2 t^3-6 t^2 The torque on the wheel becomes zero at

NEET 2011 Solution View → 89

Assertion : A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion) Reason : For perfect rolling motion, work done against friction i

AIIMS 2010 Solution View → 90

Four holes of radius R are cut from a thin square plate of side 4 R and mass M . The moment of inertia of the remaining portion about z -axis is

AIIMS 2010 Solution View → 91

Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material. Reason : The torque required to produce a given twist in hollow cylinder is greater tha

AIIMS 2010 Solution View → 92

What is moment of inertia of a cylinder of radius r , along its height ?

AIIMS 2010 Solution View → 93

The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc and normal to the disc is

JIPMER 2010 Solution View → 94

A circular disk of moment of inertia I_t is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed _i . Another disk of moment of inertia I_b is dro

NEET 2010 Solution View → 95

From a circular disc of radius R and mass 9 M , a small disc of mass M and radius R 3 is removed concentrically. The moment of inertia of the remaining disc about an axis perpendic

NEET 2010 Solution View → 96

The solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on a inclined plane. Both roll down wi

NEET 2010 Solution View → 97

Assertion : Angular speed of a planet around the sun increases, when it is closer to the sun. Reason : Total angular momentum of the system remains constant.

AIIMS 2009 Solution View → 98

A wheel has angular acceleration of 3.0 rad / s ^2 and an initial angular speed of 2.00 rad / s . In a time of 2 s it has rotated through an angle (in radian) of

JIPMER 2009 Solution View → 99

A force of -F k acts on O , the origin of the coordinate system. The torque about the point (1,-1) is

JIPMER 2009 Solution View → 100

If F is the force acting on a particle having position vector r and be the torque of this force about the origin, then

NEET 2009 Solution View → 101

A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity . If two objects each of mass m b

NEET 2009 Solution View → 102

Four identical thin rods each of mass M and length l , from a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its

NEET 2009 Solution View → 103

A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity . If two objects each mass m be a

NEET 2009 Solution View → 104

If F is the force acting on a particle having position vector r and be the torque of this force about the origin, then :

NEET 2009 Solution View → 105

Four identical thin rods each of mass M and length l , form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its

NEET 2009 Solution View → 106

Side of an equilateral triangle is (l ). Three point masses, each of magnitude (m ), are placed at the three vertices of the triangle. Moment of inertia of this system about one si

AIIMS 2008 Solution View → 107

The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is

NEET 2008 Solution View → 108

A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90^ . The moment of inertia of the bent rod about an axis passing throug

NEET 2008 Solution View → 109

The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is

NEET 2008 Solution View → 110

A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90^ . The moment of inertia of the bent rod about an axis passing throug

NEET 2008 Solution View → 111

If a solid sphere of mass (1 ~kg ) and radius (0.1 ~m ) rolls without slipping at a uniform velocity of (1 ~m / s ) along a straight line on a horizontal floor, the kinetic energy

AIIMS 2007 Solution View → 112

In the diagram shown below all three rods are of equal length (L ) and equal mass (M ). The system is rotated such that ( rod B ) is the axis. What is the moment of inertia of the

AIIMS 2007 Solution View → 113

A drum of radius R and mass M , rolls down without slipping along an inclined plane of angle . The frictional force

JIPMER 2007 Solution View → 114

The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc and normal to the disc is

JIPMER 2007 Solution View → 115

A particle of mass m moves in the X Y plane with a velocity v along the straight line AB . If the angular momentum of the particle with respect to origin O is L_A when it is at A a

NEET 2007 Solution View → 116

A uniform rod AB of length I and mass m is free to rotate about point A . The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod abou

NEET 2007 Solution View → 117

The moment of inertia of a rod about an axis through its centre and perpendicular to it is 1 12 M L^2 (where M is the mass and L , the length of the rod). The rod is bent in the mi

AIIMS 2006 Solution View → 118

Assertion : A judo fighter in order to throw his opponent on to the mat tries to initially bend his opponent and then rotate him around his hip. Reason : As the mass of the opponen

AIIMS 2006 Solution View → 119

The angular momentum of a rotating body changes from A₀ to 4 A₀ in 4 seconds. The torque acting on the body is :

JIPMER 2006 Solution View → 120

If a spherical ball rolls on a table without slipping the friction of its total energy associated with rotational energy is :

JIPMER 2006 Solution View →
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