For of particles under central forcer field, the total angular momentum is conserved.
The torque acting on such a system is zero.

Assertion: The motion of a particle under the central force is always confined to a plane. Reason: Angular momentum is always conserved in the motion under a central force.

Assertion: The motion of a particle under the central force is always confined to a plane. Reason: Angular momentum is always conserved in the motion under a central force.

Prove that the rate of change of angular momentum is equal to torque acting on the particle

Obtain the relation between angular momentum of a particle and torque acting on it.

Show the rate of change of angular momentum of a particle is equal to the torque acting on it.

Prove that the time rate of change of the angular momentum of a particle is equal to the torque acting on it.

Is angular momentum of a system always conserved ?

Show that the total angular momentum of a rotating system remains constant if no torque acts on the system.

Under what condition will the total linear momentum of a system be zero ?

Under a constant torque, the angular momentum of a body changes from 2x to 5x in 8 sec. The torque acting on the body is