A rotating drum is stopped by a brake actuated by a hydraulic cylinder as shown. The moment of inertia for the drum is Io=20 kg-m2. The friction coefficient between the brake shoe and the drum is 0.40. The dimensions are as given in millimeters. Find the force (in N) applied by the hydraulic cylinder to stop the drum in 75 revs if the initial drum speed, omega1, is as given below.


omega1[RPM] = 220;

http://micko.dyndns.org/brake.jpg

A solution would be greatly appreciated!