Rotational Motion PYQs - Last 10 Years

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All Rotational Motion PYQs Last 5 Years Create chapter test

Practice 230 JEE Main Physics questions from Rotational Motion. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Physics / Mechanics

2017-2026

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120

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2017-2026

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120 in last 5 years230 in last 10 years

Last 10 Years Rotational Motion Questions

Showing 50 of 230 filtered questions.

1Rotational Motion

The moment of inertia of a uniform thin rod about a perpendicular axis passing through one end is I1. The same rod is bent into a ring and its moment of inertia about a diameter is I2. If \({{{I_1}} \over {{I_2}}}\) is $${{x{\pi ^2}} \over ...

INTEGER+4 / -12022

2Rotational Motion

The torque of a force \(5 \hat{i}+3 \hat{j}-7 \hat{k}\) about the origin is \(\tau\). If the force acts on a particle whose position vector is \(2 i+2 j+k\), then the value of \(\tau\) will be

3Rotational Motion

The position vector of 1 kg object is \(\overrightarrow r = \left( {3\widehat i - \widehat j} \right)m\) and its velocity \(\overrightarrow v = \left( {3\widehat j + \widehat k} \right)m{s^{ - 1}}\). The magnitude of its angular momentum ...

INTEGER+4 / -12022

4Rotational Motion

Match List-I with List-II

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5Rotational Motion

A uniform disc with mass M = 4 kg and radius R = 10 cm is mounted on a fixed horizontal axle as shown in figure. A block with mass m = 2 kg hangs from a massless cord that is wrapped around the rim of the disc. During the fall of the block,...

INTEGER+4 / -12022

6Rotational Motion

A \(\sqrt {34}\) m long ladder weighing 10 kg leans on a frictionless wall. Its feet rest on the floor 3 m away from the wall as shown in the figure. If Ef and Fw are the reaction forces of the floor and the wall, then ratio of $${F_w}/{F_...

7Rotational Motion

A ball is spun with angular acceleration \(\alpha\) = 6t2 \(-\) 2t where t is in second and \(\alpha\) is in rads\(-\)2. At t = 0, the ball has angular velocity of 10 rads\(-\)1 and angular position of 4 rad. The most appropriate expression...

8Rotational Motion

Four identical discs each of mass '\(\mathrm{M}\)' and diameter '\(\mathrm{a}\)' are arranged in a small plane as shown in figure. If the moment of inertia of the system about \(\mathrm{OO}^{\prime}\) is \(\frac{x}{4} \,\mathrm{Ma}^{2}\). T...

INTEGER+4 / -12022

9Rotational Motion

A rolling wheel of 12 kg is on an inclined plane at position P and connected to a mass of 3 kg through a string of fixed length and pulley as shown in figure. Consider PR as friction free surface. The velocity of centre of mass of the wheel...

INTEGER+4 / -12022

10Rotational Motion

One end of a massless spring of spring constant k and natural length l0 is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The spring remains horizontal on the table. If the object is made t...

11Rotational Motion

A pulley of radius \(1.5 \mathrm{~m}\) is rotated about its axis by a force \(F=\left(12 \mathrm{t}-3 \mathrm{t}^{2}\right) N\) applied tangentially (while t is measured in seconds). If moment of inertia of the pulley about its axis of rota...

INTEGER+4 / -12022

12Rotational Motion

A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance from the initial rest position, the cylinder should be unbinding the strings to achieve a speed of \(4 \mathrm{~ms}^{-1}\)...

INTEGER+4 / -12022

13Rotational Motion

A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rads\(-\)1 in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two
objects each of mass m be att...

14Rotational Motion

A solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to its total kinetic energy is

15Rotational Motion

A disc of mass \(1 \mathrm{~kg}\) and radius \(\mathrm{R}\) is free to rotate about a horizontal axis passing through its centre and perpendicular to the plane of disc. A body of same mass as that of disc is fixed at the highest point of th...

INTEGER+4 / -12022

16Rotational Motion

The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be ___________ \(\mathrm{m}\).
Given, the length of the rod is \(10 \sqrt{3} \mathrm{~m}\).

INTEGER+4 / -12022

17Rotational Motion

If force \(\overrightarrow F = 3\widehat i + 4\widehat j - 2\widehat k\) acts on a particle position vector \(2\widehat i + \widehat j + 2\widehat k\) then, the torque about the origin will be :

18Rotational Motion

Moment of Inertia (M.I.) of four bodies having same mass 'M' and radius '2R' are as follows:
I1 = M.I. of solid sphere about its diameter
I2 = M.I. of solid cylinder about its axis
I3 = M.I. of solid circular disc about its diameter
I4 = M....

INTEGER+4 / -12022

19Rotational Motion

A solid cylinder and a solid sphere, having same mass \(M\) and radius \(R\), roll down the same inclined plane from top without slipping. They start from rest. The ratio of velocity of the solid cylinder to that of the solid sphere, with w...

20Rotational Motion

A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g are put one on the top of the other at the 10.0 cm mark the scale is found to be balanced at 40.0 cm mark. The mass of the metre scale is found to be...

INTEGER+4 / -12022

21Rotational Motion

Angular momentum of a single particle moving with constant speed along circular path :

22Rotational Motion

A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the end of light rod. The distance between the centres of the two spheres is 5 m. What will be the moment of inertia of the system about an axis perpendicula...

23Rotational Motion

The figure shows two solid discs with radius R and r respectively. If mass per unit area is same for both, what is the ratio of MI of bigger disc around axis AB (Which is \(\bot\) to the plane of the disc and passing through its centre) o...

24Rotational Motion

List-I
List-II

(a) MI of the rod (length L, Mass M, about an axis \(\bot\) to the rod passing through the midpoint)
(i) \(8M{L^2}/3\)

(b) MI of the rod (length L, Mass 2M, about an axis \(\bot\) to...

25Rotational Motion

In the given figure, two wheels P and Q are connected by a belt B. The radius of P is three times as that of Q. In case of same rotational kinetic energy, the ratio of rotational inertias \(\left( {{{{I_1}} \over {{I_2}}}} \right)\) will be...

INTEGER+4 / -12021

26Rotational Motion

Moment of inertia of a square plate of side l about the axis passing through one of the corner and perpendicular to the plane of square plate is given by :

27Rotational Motion

Two discs have moments of inertia I1 and I2 about their respective axes perpendicular to the plane and passing through the centre. They are rotating with angular speeds, \(\omega\)1 and \(\omega\)2 respectively and are brought into contact ...

28Rotational Motion

Four identical solid spheres each of mass 'm' and radius 'a' are placed with their centres on the four corners of a square of side 'b'. The moment of inertia of the system about one side of square where the axis of rotation is parallel to t...

29Rotational Motion

A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and the moment of inertia about it is I. A weight mg is attached to the cord at the end. The weight falls from rest. After falling through a d...

30Rotational Motion

Consider a badminton racket with length scales as shown in the figure.If the mass of the linear and circular portions of the badminton racket are same (M) and the mass of the threads are negligible, the moment of inertia of the racket about...

INTEGER+4 / -12021

31Rotational Motion

The solid cylinder of length 80 cm and mass M has a radius of 20 cm. Calculate the density of the material used if the moment of inertia of the cylinder about an axis CD parallel to AB as shown in figure is 2.7 kg m2.

32Rotational Motion

A particle of mass 'm' is moving in time 't' on a trajectory given by\(\overrightarrow r = 10\alpha {t^2}\widehat i + 5\beta (t - 5)\widehat j\)Where \(\alpha\) and \(\beta\) are dimensional constants.The angular momentum of the particle b...

INTEGER+4 / -12021

33Rotational Motion

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Moment of inertia of a circular disc of mass 'M' and radius 'R' about X, Y axes (passing through its plane) and Z-axis whic...

34Rotational Motion

A solid disc of radius 20 cm and mass 10 kg is rotating with an angular velocity of 600 rpm, about an axis normal to its circular plane and passing through its centre of mass. The retarding torque required to bring the disc at rest in 10 s ...

INTEGER+4 / -12021

35Rotational Motion

A sphere of radius 'a' and mass 'm' rolls along a horizontal plane with constant speed v0. It encounters an inclined plane at angle \(\theta\) and climbs upward. Assuming that it rolls without slipping, how far up the sphere will travel?

36Rotational Motion

Moment of inertia (M. I.) of four bodies, having same mass and radius, are reported as; I1 = M.I. of thin circular ring about its diameter,I2 = M.I. of circular disc about an axis perpendicular to disc and going through the centre,I3 = M.I....

37Rotational Motion

A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral hexagon. The moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is _______ \(\times\) 10\(-\)1 kg ...

INTEGER+4 / -12021

38Rotational Motion

The centre of a wheel rolling on a plane surface moves with a speed v0. A particle on the rim of the wheel at the same level as the centre will be moving at a speed \(\sqrt x {v_0}\). Then the value of x is _____________.

INTEGER+4 / -12021

39Rotational Motion

Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping. Assume that they start rolling from rest and having identical diameter.The correct statement for this situation...

40Rotational Motion

A circular disc reaches from top to bottom of an inclined plane of length 'L'. When it slips down the plane, it makes time 't1'. When it rolls down the plane, it takes time t2. The value of \({{{t_2}} \over {{t_1}}}\) is $$\sqrt {{3 \over x...

INTEGER+4 / -12021

41Rotational Motion

A body rotating with an angular speed of 600 rpm is uniformly accelerated to 1800 rpm in 10 sec. The number of rotations made in the process is ___________.

INTEGER+4 / -12021

42Rotational Motion

Two bodies, a ring and a solid cylinder of same material are rolling down without slipping an inclined plane. The radii of the bodies are same. The ratio of velocity of the centre of mass at the bottom of the inclined plane of the ring to t...

INTEGER+4 / -12021

43Rotational Motion

A body rolls down an inclined plane without slipping. The kinetic energy of rotation is 50% of its translational kinetic energy. The body is :

44Rotational Motion

A 2 kg steel rod of length 0.6 m is clamped on a table vertically at its lower end and is free to rotate in vertical plane. The upper end is pushed so that the rod falls under gravity, ignoring the friction due to clamping at its lower end,...

INTEGER+4 / -12021

45Rotational Motion

A thin circular ring of mass M and radius r is rotating about its axis with an angular speed \(\omega\). Two particles having mass m each are now attached at diametrically opposite points. The angular speed of the ring will become :

46Rotational Motion

A solid cylinder of mass m is wrapped with an inextensible light string and, is placed on a rough inclined plane as shown in the figure. The frictional force acting between the cylinder and the inclined plane is :[The coefficient of static ...

47Rotational Motion

Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpendicular to the plane of the wire passing through the center is :

48Rotational Motion

A triangular plate is shown. A force \(\overrightarrow F\) = 4\(\widehat i\) \(-\) 3\(\widehat j\) is applied at point P. The torque at point P with respect to point 'O' and 'Q' are :

49Rotational Motion

A mass M hangs on a massless rod of length l which rotates at a constant angular frequency. The mass M moves with steady speed in a circular path of constant radius. Assume that the system is in steady circular motion with constant angular ...

50Rotational Motion

The following bodies,(1) a ring(2) a disc(3) a solid cylinder(4) a solid sphere,of same mass 'm' and radius 'R' are allowed to roll down without slipping simultaneously from the top of the inclined plane. The body which will reach first at ...

INTEGER+4 / -12021