The cord is wrapped around the inner core of the spool. If block B of weight W_B is suspended from the cord and released from rest, determine the spool’s angular velocity when t = t₁. Neglect the mass of the cord. The spool has weight W_S and the radius of gyration about the axle A is k_A. Solve the problem in two ways, first by considering the “system” consisting of the block and spool, and then by considering the block and spool separately.

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Given: WB = 5 lb Ws KA = 3 s To = 180 lb = 1.25 ft ri = 1.5 ft = 2.75 ft 8 = 32.2 ft 2 S