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alco19357
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Homework Statement
Summary:
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 [itex]\mu[/itex]k. The system is released from rest, and block B descends. Block A has mass (ma) and block B has mass (mb).
Question:
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 ma, mb, R, I, [itex]\mu[/itex]k, d and appropriate constants
Homework Equations
Conservation of Energy:
PEi + KEi = PEf + KEf + frictional work
The Attempt at a Solution
(magd) + (mbgd) = maVa2/2 + mbVb2/2 + I[itex]\omega[/itex]2/2 + [itex]\mu[/itex]kmg
0 + (mbgd) = 0 + mbVb2/2 + I[itex]\omega[/itex]2/2 + [itex]\mu[/itex]kmg
Is this right?