Rotational Motion PYQs - Last 10 Years

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PhysicsMechanics2017-2026

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Practice 31 JEE Advanced 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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Last 10 Years Rotational Motion Questions

Showing 31 of 31 filtered questions.

1Rotational Motion

A uniform circular disk of radius 0.2 m and mass 1 kg is pivoted at its top point $C$ such that it can rotate freely around $C$ in the $X Y$ plane, as shown in the figure. Initially, when the disk is at rest, a particle of mass 20 g , trave...

INTEGER+2 / -02026

2Rotational Motion

A uniform circular disk of radius 0.2 m and mass 1 kg is pivoted at its top point $C$ such that it can rotate freely around $C$ in the $X Y$ plane, as shown in the figure. Initially, when the disk is at rest, a particle of mass 20 g , trave...

INTEGER+2 / -02026

3Rotational Motion

List-I shows four planar structures made of uniform solid rods each of mass $m$ and length $l$. In the List-II the possible moment of inertia of these structures about an axis $OCO'$, which lies in the plane of the structures, are given.
Ch...

4Rotational Motion

A solid cylinder of radius R rolls without slipping with a center of mass speed v0 = $\sqrt{\frac{gR}{3}}$ on a horizontal surface with a vertical edge, as shown in the figure. Here, g is the acceleration due to gravity. At the moment when ...

5Rotational Motion

Consider a large disk of radius R and two smaller disks, each of radius r = R / 50, lying on its circumference, as shown in the figure. The smaller disks are initially in contact with each other, with an angular separation Δθ between their ...

6Rotational Motion

The center of a disk of radius $r$ and mass $m$ is attached to a spring of spring constant $k$, inside a ring of radius $R>r$ as shown in the figure. The other end of the spring is attached on the periphery of the ring. Both the ring and th...

7Rotational Motion

A thin uniform rod of length $L$ and certain mass is kept on a frictionless horizontal table with a massless string of length $L$ fixed to one end (top view is shown in the figure). The other end of the string is pivoted to a point $\mathrm...

INTEGER+4 / -02024

8Rotational Motion

A disc of mass $M$ and radius $R$ is free to rotate about its vertical axis as shown in the figure. A battery operated motor of negligible mass is fixed to this disc at a point on its circumference. Another disc of the same mass $M$ and rad...

INTEGER+4 / -02024

9Rotational Motion

A thin circular coin of mass $5 \mathrm{gm}$ and radius $4 / 3 \mathrm{~cm}$ is initially in a horizontal $x y$-plane. The coin is tossed vertically up ( $+z$ direction) by applying an impulse of $\sqrt{\frac{\pi}{2}} \times 10^{-2} \mathrm...

INTEGER+4 / -02023

10Rotational Motion

An annular disk of mass $M$, inner radius $a$ and outer radius $b$ is placed on a horizontal surface with coefficient of friction $\mu$, as shown in the figure. At some time, an impulse $J_0 \hat{x}$ is applied at a height $h$ above the cen...

MCQM+4 / -22023

11Rotational Motion

Two point-like objects of masses $20 ~\mathrm{gm}$ and $30 ~\mathrm{gm}$ are fixed at the two ends of a rigid massless rod of length $10 \mathrm{~cm}$. This system is suspended vertically from a rigid ceiling using a thin wire attached to i...

INTEGER+4 / -02023

12Rotational Motion

A bar of mass $M=1.00 \mathrm{~kg}$ and length $L=0.20 \mathrm{~m}$ is lying on a horizontal frictionless surface. One end of the bar is pivoted at a point about which it is free to rotate. A small mass $m=0.10 \mathrm{~kg}$ is moving on th...

13Rotational Motion

A flat surface of a thin uniform disk $A$ of radius $R$ is glued to a horizontal table. Another thin uniform disk $B$ of mass $M$ and with the same radius $R$ rolls without slipping on the circumference of $A$, as shown in the figure. A fla...

14Rotational Motion

List I describes four systems, each with two particles $A$ and $B$ in relative motion as shown in figures. List II gives possible magnitudes of their relative velocities (in $m s^{-1}$ ) at time $t=\frac{\pi}{3} s$.

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15Rotational Motion

A solid sphere of mass $1 \mathrm{~kg}$ and radius $1 \mathrm{~m}$ rolls without slipping on a fixed inclined plane with an angle of inclination $\theta=30^{\circ}$ from the horizontal. Two forces of magnitude $1 \mathrm{~N}$ each, parallel...

INTEGER+3 / -02022

16Rotational Motion

At time $t=0$, a disk of radius $1 \mathrm{~m}$ starts to roll without slipping on a horizontal plane with an angular acceleration of $\alpha=\frac{2}{3} \mathrm{rad} \,\mathrm{s}^{-2}$. A small stone is stuck to the disk. At $t=0$, it is a...

INTEGER+3 / -02022

17Rotational Motion

A thin rod of mass M and length a is free to rotate in horizontal plane about a fixed vertical axis passing through point O. A thin circular disc of mass M and of radius a/4 is pivoted on this rod with its center at a distance a/4 from the ...

INTEGER+4 / -02021

18Rotational Motion

A horizontal force F is applied at the center of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is \(\mu\). The center of ...

MCQM+4 / -22021

19Rotational Motion

A rod of mass m and length L, pivoted at one of its ends, is hanging vertically. A bullet of the same mass moving at speed v strikes the rod horizontally at a distance x from its pivoted end and gets embedded in it. The combined system now ...

MCQM+4 / -22020

20Rotational Motion

A small roller of diameter 20 cm has an axle of diameter 10 cm (see figure below on the left). It is
on a horizontal floor and a meter scale is positioned horizontally on its axle with one edge of the scale
on top of the axle (see figure on...

21Rotational Motion

A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from rest so that it falls by rotating about its contact-point with the floor without slipping. Which of the following statem...

MCQM+4 / -12019

22Rotational Motion

A ring and disc are initially at rest, side by side, at the top of an inclined plane which makes an angle \({60^ \circ }\) with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the...

INTEGER+3 / -02018

23Rotational Motion

The potential energy of a particle of mass \(m\) at a distance \(r\) from a fixed point \(O\) is given by \(V\left( r \right) = k{r^2}/2,\) where \(k\) is a positive constant of appropriate dimensions. This particle is moving in a circular ...

MCQM+4 / -12018

24Rotational Motion

Two vectors \(\overrightarrow A\) and \(\overrightarrow B\) are defined as \(\overrightarrow A\) \(=\) \(a\widehat i\) and \(\overrightarrow B = a\) \(\left( {\cos \,\omega T\widehat i + \sin \,\omega t\,\widehat j} \right),\) where $$...

INTEGER+3 / -02018

25Rotational Motion

Consider a body of mass \(1.0\) \(kg\) at rest at the origin at time \(t=0.\) A force \(\overrightarrow F = \left( {\alpha t \widehat i + \beta \widehat j} \right)\) is applied on the body, where \(\alpha = 1.0N{s^{ - 1}}\) and $$\beta =...

MCQM+4 / -12018

26Rotational Motion

Consider regular polygons with number of sides \(n=3,4,5....\) as shown in the figure. The center of mass of all the polygons is at height \(h\) from the ground. They roll on a horizontal surface about the leading vertex without slipping an...

MCQ+3 / -0.752017

27Rotational Motion

The minimum value of \(\omega\)0 below which the ring will drop down is

28Rotational Motion

The total kinetic energy of the ring is

29Rotational Motion

A rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figure). At some instant of time, the angle made by the bar with the vertical is \(\theta\). Which of the following statement...

MCQM+4 / -22017

30Rotational Motion

A wheel of radius R and mass M is placed at the bottom of a fixed step of height R as shown in the figure. A constant force is continuously applied on the surface of the wheel so that it just climbs the step without slipping. Consider the t...

MCQM+4 / -22017

31Rotational Motion

A block of mass \(M\) has a circular cut with a frictionless surface as shown. The block resets on the horizontal frictionless surface of a fixed table. Initially the right edge of the block is at \(x=0,\) in a co-ordinate system fixed to t...

MCQM+4 / -12017