A disc of radius R stands at the edge of a table. If the given a gentle push and it beings to fall. Assume that the disc does not slip at A and it rotates about the point as it falls. The falling disc hits the edge of another table placed at same height as the first one at a horizontal distance of `sqrt2 R`. Imagine that the disc hits the edge B and rotates (up) about the edge
(a) Find the speed of the centre of the disc at the instant just before it hits the edge B.
(b) Find the angular speed of the disc about B just after the hit.

Answer

`omega = (1)/(3)sqrt((2sqrt(2)((sqrt(2)-1))/(3) (g)/(R))`