A small body of mass m is at rest inside a narrow groove carved in a disc. Groove is a circle of radius R concentric to the disc. Mass of the disc is also m . The disc lies on a smooth horizontal floor. The small body is given a sharp impulse so that it acquires a tangential velocity Vo at time t = 0.

(a) The velocity of the centre of the disc becomes zero for the first time at time `t_(0)`. Find `t_(0)`
(b) Find speed of the small body at time `(t_(0))/(3)`

Answer

(a) `t_(0)=(2piR)/(V_(0))`
(b) `(V_(0))/(2)`