Three identical discs A, B, and C (figure) rest on a smooth horizontal plane. The disc A is set in motion with vector v after which it experiences an elastic collision simultaneously with the discs B and C. The distance between the centres of the latter discs prior of the collision is `eta` times greater than the diameter of each disc.
Find the velocity of the disc A after the collision. At what value of `eta` will the disc A recoil after the collision, stop, move on?

A small disc and a thin uniform rod of length l, whose mass is eta times greater than the mass of the disc, lie on a smooth horizontal plane. The disc is set in motion, in horiozontal direction and perpendicular to the rod, with velocity v, after which it elastically collides with the end of the rod. Find the velocity of the disc and the angular velocity of the rod after the collision. At what value of eta will the velocity of the disc after the collision be equal to zero? reverse its direction?

A particle of mass m strikes elastically with a disc of radius R , with a velocity vec"v" as shown in the figure. If the mass of the disc is equal to that of the particle and the surface of the contact is smooth, find the velocity of the disc just after the collision.

An ant is sitting at the edge of a rotating disc. If the ant reaches the other end, after moving along the diameter, the angular velocity of the disc will:-

An ant is sitting at the edge of a rotating disc. If the ant reaches the other end, after moving along the diameter, the angular velocity of the disc will:-

Holes are drilled along the diameter of a disc. For a minimum time period, the disc should be suspend from the centre of gravity at a distance of :

A rod touches a disc kept on a smooth horizontal plane. If the rod moves with an acceleration a , the disc rolls on the rod without acceleration a , the disc rools on therod without slidding. Then , the acceleration of the disc w.r.t the rod is

A body of mass M (figure) with a small disc of mass m placed on it rests on a smooth horizontal plane. The disc is set in motion in the horizontal direction with velocity v. To what height (relative to the initial level) will the disc rise after breaking off the body M? The friction is assumed to be absent.