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Q2. A winch drum has a mass of 800 kg and a radius of gyration of 600 mm. The winch has a single brake shoe acting on a brake drum of diameter 1.2 m. The coefficient of friction between the shoe and the drum is 0.8. Friction in the winch bearings is constant at 10 Nm. Calculate EACH of the following:

(a) the normal force to be applied to the brake shoe to slow the winch down from 320 rev/min to 100 rev/min in 30 seconds. (12)

(b) the work done by the brake in bringing the drum to rest from 320 rev/min using the brake force calculated in Q2(a). (4)