A uniform disc of radius r and mass m is free to rotate on a frictionless pivot through point P on its rim as shown in Fig. The disc is at rest and is released from the position (1). (i) What is the speed of the centre of mass when the disc reaches the position (2). (ii) Also rind the speed of the lowest point on the disc in the dashed position.

Explanation

`mgh = (1//2) Iomega^(2), I = ml^(2), I = ml^(2)//3, l = 1//2, omega = sqrt(6)g, alpha = tau//l = mg xx (1//4) (m//12) = 3 g`