A uniform rod of mass `m=2 kg` and length `l` is kept on a smooth horizontal plane. If the ends `A` and `B` of the rod move with speeds `v` and `2v` respectively perpendicular to the rod, find the:
a. angulr velocity of `CM` of the rod.
b. Kinetic energy of the rod (in Joule).

A uniform rod of mass m and length L is at rest on a smooth horizontal surface. A ball of mass m, moving with velocity v_0 , hits the rod perpendicularly at its one end and sticks to it. The angular velocity of rod after collision is

A uniform rod of mass m , length l rests on a smooth horizontal surface. Rod is given a sharp horizontal impulse p perpendicular to the rod at a distance l//4 from the centre. The angular velocity of the rod will be

A uniform rod of mass m , length l rests on a smooth horizontal surface. Rod is given a sharp horizontal impulse p perpendicular to the rod at a distance l//4 from the centre. The angular velocity of the rod will be

A uniform rod of mass m and length l rests on a smooth horizontal surface. One of the ends of the rod is struck in a horizontal direction at right angles to the rod. As a result the rod obtains velocity v_(0) . Find the force with which one-half of the rod will act ont he other in the process of motion.

A uniform rod of mass M and length l is placed on a smooth- horizontal surface with its one end pivoted to the surface. A small ball of mass m moving along the surface with a velocity v_(0) , perpendicular to the rod, collides elastically with the free end of the rod. Find: a. the angular velocity of the rod after collision. b. the impulse applied by the pivot on the rod during collision. (Take M//m = 2 )

A uniform rod of mass M and length l is placed on a smooth- horizontal surface with its one end pivoted to the surface. A small ball of mass m moving along the surface with a velocity v_(0) , perpendicular to the rod, collides elastically with the free end of the rod. Find: a. the angular velocity of the rod after collision. b. the impulse applied by the pivot on the rod during collision. (Take M//m = 2 )

A uniform rod of mass M and length a lies on a smooth horizontal plane. A particle of mass m moving at a speed v perpendicular to the length of the rod strikes it at a distance a/4 from the centre and stops after the collision. Find a. the velocity of the cente of the rod and b. the angular velocity of the rod abut its centre just after the collision.