Disk D of weight W is subjected to counterclockwise moment M = bt. Determine the angular velocity of the disk at time t after the moment is applied. Due to the spring the plate P exerts constant force P on the disk. The coefficients of static and kinetic friction between the disk and the plate are μ_s and μ_k respectively.

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Given: W = 10 lb b = 10 t = 2 s lb. ft S P = 100 lb Hs = 0.3 μk 0.2 = r = 0.5 ft 8 = 32.2 ft 2 S