The speed of a rotating drum of radius 260 mm can be
controlled by the brake as shown. If the force P = 500 N is
applied to the brake lever at point C, determine the time
required to reduce the drum speed from $100\pi/3$ rad/s to rest.
The mass of the drum is 300 kg, the drum's radius of
gyration about its axis of rotation is 200 mm, and the kinetic
coefficient of friction between the brake pad and the drum is
0.5. In the figure, $a = 160$ mm, $b = 800$ mm and $d = 100$ mm.