A point mass `m = 1 kg` is attached to a point P on the circumference of a uniform ring of mass `M = 3kg` and radius `R = 2.0 m`. The ring is placed on a horizontal surface and is released from rest with line OP in horizontal position (O is centre of the ring). Friction is large enough to prevent sliding. Calculate the following quantities immediately after the ring is released-
(a) angular acceleration `(alpha)` of the ring,
(b) normal reaction of the horizontal surface on the ring and
(c) the friction force applied by the surface on the ring.
[Take `g = 10 m//s^(2)` ]