Rotational Motion JEE Main PYQs

Solved Rotational Motion PYQs

3 recent questions with answers. The full set of 180 is free to practise.

1. JEE Main Torque and Angular MomentumMediumRolling Motion
   Q1

   A solid cylinder having radius $R$ and length $L$ is slipping on a rough horizontal plane. At time $t=0$ the cylinder has a translational velocity $v_o=49m/s$ , perpendicular to its axis and a rotational velocity $v_o/4R$ about the centre. The time taken by the cylinder to start rolling is $\_\_\_\_$ seconds. (coefficient of kinetic friction ${\mu }_K=0.25$ and $g=9.8m/s^2$ )

   • A15
   • B5
   • C10
   • D7.5

   Show answer & solution

   Correct answer: (B)

   2026
2. JEE Main Torque and Angular MomentumEasyRotational Dynamics and Work-Energy Principle
   Q2

   A solid sphere of radius 4 cm and mass 5 kg is rotating (rotation axis is passing through the centre of the sphere) with an angular velocity of 1200 rpm . It is brought to rest in 10 s by applying a constant torque. The torque applied and the number of rotations it made before it comes to rest are $\_\_\_\_$ and $\_\_\_\_$ respectively.

   • A$0.128\pi Nm,100$
   • B$0.0128\pi Nm,50$
   • C$0.128\pi Nm,50$
   • D$0.0128\pi Nm,100$

   Show answer & solution

   Correct answer: (D)

   2026
3. JEE Main Torque and Angular MomentumMediumTorque and Rotational Equilibrium
   Q3

   The position of an object having mass 0.1 kg as a function of time $t$ is given as
   
   $\overrightarrow{r}=\left(10t^2\hat{i}+5t^3\hat{j}\right)$ m. At $t=1$ s, which of the following statements are correct?
   
   A. The linear momentum $\overrightarrow{p}=\left(2\hat{i}+1.5\hat{j}\right)$ kg·m/s.
   
   B. The force acting on the object $\overrightarrow{F}=\left(2\hat{i}+3\hat{j}\right)$ N.
   
   C. The angular momentum of the object about its origin $\overrightarrow{L}=15\hat{k}$ J·s.
   
   D. The torque acting on the object about its origin $\overrightarrow{\tau }=20\hat{k}$ N·m.
   
   Choose the correct answer from the options given below:

   • AA, B and C only
   • BB, C and D only
   • CA, C and D only
   • DA, B and D only

   Show answer & solution

   Correct answer: (D)

   2026

Topic-wise question count

Where JEE Main has asked from Rotational Motion, most frequent first.

• Moment of Inertia and Radius of Gyration59
• Rolling Motion38
• Rotational Dynamics and Work-Energy Principle30
• Angular Momentum and Its Conservation27
• Torque and Rotational Equilibrium22
• Rotational Kinematics4