- Introduction
- Angular velocity and angular acceleration
- |
- Rotation with constant angular acceleration
- |
- Kinetic energy of Rotation
- |
- Calculation of moment of inertia
- |
- Theorems of Moment of Inertia
- |
- Torque
- |
- work and power in rotational motion
- |
- Torque and angular acceleration
- |
- Angular momentum and torque as vector product
- |
- Angular momentum and torque of the system of particles
- |
- Angular momentum of the system of particles with respect to the center of mass of the system
- |
- Radius of gyration
- |
- Kinetic Energy of rolling bodies (rotation and translation combined)
- |
- Solved examples

In this page we have ** Questions on rotation for JEE Main/Advanced and AP physics** . Hope you like them and do not forget to like , social share
and comment at the end of the page.

__Linked Type Comprehension__

A Rod of length L and Mass M can freely rotate around a pivotal A. A bullet of mass m and velocity v hit the rod at a height h from A and becomes embedded in it

**Question 1** Find the angular velocity of the Rod just after the collision

a)

b)

c)

d)

**Question 2** Find the Linear momentum of the system just after the collision if is the angular velocity

a)

b)

c)

d)

__Linked Type Comprehension__

An Upright hoop is projected on a pavement with a initial horizontal speed v_{0} but without spin so that its slides. The resulting frictional force causes the hoop to spin to loose translational speed and to acquire an angular speed. Eventually the hoop rolls without slipping

Let μ be the coefficient of friction.

Let M be the mass of the Upright hoop

**Question 3** Find the time taken by the hoop to start rolling without slipping

a)

b)

c)

d)

**Question 4** Find the velocity of the hoop at no slipping

a)

b)

c)

d)

**Question 5** which one of the following statement are correct

a) The loop will have total energy when it start pure rolling

b) Energy is lost in friction during the whole motion

c) The velocity of the top most point is v_{0} when it start pure rolling

d) is the rotational energy of the loop when it start pure rolling

__Multiple Choice Questions__

**Question 6:**

A nearly massless rod is pivoted at one end so it can freely swing as a pendulum. Two masses 2m and m are attached to it at distance a and 3a respectively from the pivot end. The rod is held horizontal and then released.

Which of the following is correct?

a) The angular acceleration at the instant it is released

b) Moment of inertia of the system about pivot is 11ma^{2}

c) The angular acceleration at the instant when the rod makes an angle θ with horizontal

d) The net torque about the pivot end becomes zero when rod becomes vertical.

__Linked Type Comprehension__

A cylinder of Mass M and radius R is kept on the plank. The plank starts moving with acceleration a. The cylinder rolls without slipping on the plank

**Question 7** Find the acceleration of the cylinder center of mass from the laboratory frame of reference

a)

b)

c)

d)

**Question 8** Find the frictional force acting on the cylinder

a)

b)

c)

d)

**Question 9** Find the angular acceleration of the cylinder about the axis passing through center of mass

a)

b)

c)

d)

__Multiple Choice Questions__

**Question 10: **

Two masses m_{1} and m_{2} separated by thin rod of length L. The system is shown below

The rod mass can be neglected

The system is thrown into the air. It is assumed only gravitational forces are acting and frictional forces are assumed to be null

Which of the following statement is true?

a) The center of mass of the system will follow a parabolic path

b)

c) The acceleration of the center of mass will be vertically downward and equal to g

d) None of these

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