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A uniform rope of total mass M and length L hangs partway over a smooth edge as shown in the figure. If the coefficient of static friction between the rope and the rock surface is µs = 0.60. What is the maximum fraction of the rope that can hang without pulling the remainder over the edge ?

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answer is 0.38.

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Detailed Solution

Friction due to weight of (L-l) is equal to weight of hanging part.

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