A disc of mass m and radius R lies flat on a smooth horizontal table. A particle of mass m, moving horizontally along the table, strikes the disc with velocity V while moving along a line at a distance `(R)/(2)` from the centre. Find the angular velocity acquired by the disc if the particle comes to rest after the impact.

A disc of mass M and radius R is kept flat on a smooth horizontal table. An insect of mass m alights on the periphery of the disc and begins to crawl along the edge. (a) Describe the path of the centre of the disc. For what value of (m)/(M) the centre of the disc and the insect will follow the same path ?

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.

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.

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.

A uniform circular disc of mass m is set rolling on a smooth horizontal table with a uniform linear velocity v . Find the total K.E. of the disc.

A uniform circular disc of mass m is set rolling on a smooth horizontal table with a uniform linear velocity v. Find the total K.E., of the disc.

A uniform circular disc of mass m is set rolling on a smooth horizontal table with a uniform linear velocity v. Find the total K.E. of the disc.

A uniform rod of length L lies on a smooth horizontal table. The rod has a mass M . A particle of mass m moving with speed v strikes the rod perpendicularly at one of the ends of the rod sticks to it after collision. Find the velocity of the centre of mass C and the angular, velocity of the system about the centre of mass after the collision.

A circular ring of mass m and radius R rests flat on a horizontal smooth surface as shown in figure. A particle of mass m , and moving with a velocity v . Collides inelastically (e=0) with the ring the angular velocity with which the system rotates after the particle strikes the ring is