The pulley in the figure (Figure 1) has radius \'R\' and a moment of inertia \'I
ID: 3078960 • Letter: T
Question
The pulley in the figure (Figure 1) 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 meu(k) . The system is released from rest, and block B descends. Block A has mass Ma and block B has mass Mb . 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 Mb,Ma meu(k)(coeficient of friction),d(distance) R,I and appropriate constants.
Please give the most detailed response with all equations with the variables, then filled in numbers, etc. 100 points to the most detailed answer.
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 + µ(k) . Ma . g . d Now just rearrange so that "v" = something and thats the answer.
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