Disk D of weight W is subjected to counterclockwise moment M = b_t. Determine the angular velocity of the disk at time t₂ 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 μs and μk respectively.

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Given: W = 10 lb ft b 10 lb.- = S 12 = 2 s P = 100lb Hs = 0.3 k = 0.2 r = 0.5 ft 8 = 32.2 ft 2 S