The pulley in the figure has radius R and a moment of inertia I. The rope does n
ID: 2217708 • Letter: T
Question
The pulley in the figure has radius R and a moment of inertia I. The rope does not slip over the pulley, and the pulley spins on a frictionless axle. The coefficient of kinetic friction between block A and the tabletop is u_k. The system is released from rest, and block B descends. Block A has mass m_A and block B has mass m_B. Use energy methods to calculate the speed of block B as a function of the distance d that it has descended. Express your answer in terms of the variables m_A, m_B, R, I, u_k, d and appropriate constants.
Explanation / Answer
Height energy lost by Mb = KE gained by Mb + KE gained by pulley + KE gained by Ma + frictional heat gained by the bench ( and Ma) Mb . g . d = 1/2 . Mb . v^2 + 1/2 . I . (v/R)^2 + 1/2 . Ma . v^2 +
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