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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230

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2017-2026

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Last 10 Years Rotational Motion Questions

Showing 30 of 230 filtered questions.

1Rotational Motion

A uniform rod of length \(\ell\) is being rotated in a horizontal plane with a constant angular speed about an axis
passing through one of its ends. If the tension generated in the rod due to rotation is T(x) at a distance x from
the axis,...

2Rotational Motion

An equilateral triangle ABC is cut from a thin solid sheet of wood. (see figure) D, E and F are the mid-points of its sides as shown and G is the centre of the triangle. The moment of inertia of the triangle about an axis passing through G ...

3Rotational Motion

A slab is subjected to two forces \(\overrightarrow {{F_1}}\) and \(\overrightarrow {{F_2}}\) of same magnitude F as shown in the figure. Force \(\overrightarrow {{F_2}}\) is in XY-plane while force \(\overrightarrow {{F_1}}\) acts alo...

4Rotational Motion

A string is wound around a hollow cylinder of mass 5 kg and radius 0.5m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular accele...

5Rotational Motion

The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the distance of the particle from the origin is 5m, the angle between the force and the position vector is (in radians) :

6Rotational Motion

A circular disc D1 of mass M and radius R has two identical discs D2 and D3 of the same mass M and radius R attached rigidly at its opposite ends (see figure). The moment of inertia of the system about the axis OO' ,passing through the cent...

7Rotational Motion

A homogeneous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is -

8Rotational Motion

To mop-clean a floor, a cleaning machine presses a circular mop of radius R vertically down with a total force F and rotates it with a constant angular speed about its axis. If the force F is distributed uniformly over the mop and if coeffi...

9Rotational Motion

A rigid massless rod of length 3l has two masses attached at each end as shown in the figure. The rod is pivoted at point P on the horizontal axis (see figure). When released from initial horizontal position, its
instantaneous angular accel...

10Rotational Motion

Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is :

11Rotational Motion

A particle of mass m is moving along a
trajectory given by
x = x0 + a cos\(\omega\)1t
y = y0 + b sin\(\omega\)2t
The torque, acting on the particle about the
origin, at t = 0 is :

12Rotational Motion

A thin disc of mass M and radius R has mass
per unit area \(\sigma\)(r) = kr2 where r is the distance
from its centre. Its moment of inertia about an
axis going through its centre of mass and
perpendicular to its plane is :

13Rotational Motion

Two coaxial discs, having moments of inertia
I1 and I1/2, are rotating with respective angular
velocities \(\omega\)1 and
\(\omega\)1/2
, about their common axis.
They are brought in contact with each other and
thereafter they rotate wit...

14Rotational Motion

A solid sphere of mass M and radius R is divided into two unequal parts. The first part has a mass of \({{7M} \over 8}\)
and is converted into a uniform disc of radius 2R. The second part is converted into a uniform solid sphere.
Let I1 be ...

15Rotational Motion

The time dependence of the position of a particle of mass m = 2 is given by \(\overrightarrow r \left( t \right) = 2t\widehat i - 3{t^2}\widehat j\)
. Its angular
momentum, with respect to the origin, at time t = 2 is

16Rotational Motion

A metal coin of mass 5 g and radius 1 cm is fixed to a thin stick AB of negligible mass as shown in the
figure. The system is initially at rest. The constant torque, that will make the system rotate about AB at 25
rotations per second in 5s...

17Rotational Motion

A thin circular disk is in the xy plane as shown in the figure. The ratio of its moment of inertia about z and z' axes will be :

18Rotational Motion

A force of \(40\) \(N\) acts on a point \(B\) at the end of an \(L\)-shaped object, as shown in the figure. The angle \(\theta\) that will produce maximum moment of the force about point \(A\) is given by :

19Rotational Motion

A uniform rod \(AB\) is suspended from a point \(X,\) at a variable distance \(x\) from \(A\), as shown, To make the rod horizontal, a mass \(m\) is suspended from its end \(A.\)A\(set of\)(m,x)$$ values is recorded. The appropriate varia...

20Rotational Motion

A thin rod MN, free to rotate in the vertical plane aboutthe fixed end N, is held horizontal. When the end M is released the speed of this end, when the rod makes an angle \(\alpha\) with the horizontal, will be proportional to : (see figu...

21Rotational Motion

A thin uniform bar of length \(L\) and mass \(8\) m lies on a smooth horizontal table. Two point masses m and 2 m are moving in the same horizontal plane from opposite sides of the bar with speeds 2\(\upsilon\) and \(\upsilon\) respective...

22Rotational Motion

Seven identical circular planar disks, each of mass M and radius R are
welded symmetrically as shown. The moment of inertia of the arrangement
about the axis normal to the plane and passing through the point P is :

23Rotational Motion

From a uniform circular disc of radius R and mass 9M, a small disc
of radius R/3 is removed as shown in the figure. The moment of
inertia of the remaining disc about an axis perpendicular to the plane
of the disc and passing through centre ...

24Rotational Motion

A circular hole of radius \({R \over 4}\) is made in a thin uniform disc having mass M and radius R, as shown in figure. The moment of inertia of the remaining portion of the disc about an axis passing through the point O and perpendicular...

25Rotational Motion

The machine as shown has 2 rods of length1 m connected by a pivot at the top. The end of one rod is connected to the floor by a stationary pivot and the end of the other rod has a roller that rolls along the floor in a slot. As the roller g...

26Rotational Motion

A uniform disc of radius R and mass M is free to rotate only about its axis. A string is wrapped over its rim and a body of mass m is tied to the free end of the string as shown in the figure. The body is released from rest. Then the accele...

27Rotational Motion

Moment of inertia of an equilateral triangular lamina ABC, about the axis
passing through its centre O and perpendicular to its plane is Io as shown in the figure. A cavity DEF is cut out from the lamina, where D, E, F are the mid points o...

28Rotational Motion

In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct ?

29Rotational Motion

The moment of inertia of a uniform cylinder of length \(l\) and radius R about its perpendicular bisector is \(I\).
What is the ratio \({l \over R}\) such that the moment of inertia is minimum?

30Rotational Motion

A slender uniform rod of mass M and length \(l\) is pivoted at one end so that it
can rotate in a vertical plane (see figure). There is negligible friction at the
pivot. The free end is held vertically above the pivot and then released. The...