The assembly consists of two slender rods each of weight W_r and a disk of weight Wd. If the spring is unstretched when θ = θ₁ and the assembly is released from rest at this position, determine the angular velocity of rod AB at the instant θ = 0. The disk rolls without slipping.

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Given: Wr = 15 lb Wd = 20 lb 01 = 45 deg lb ft L = 3 ft k = 4 r = 1 ft B L