A cord having a weight density and a total length L is suspended over a peg

Question:

A cord having a weight density γ and a total length L is suspended over a peg P as shown. If the coefficient of static friction between the peg and cord is μs, determine the longest length h which one side of the suspended cord can have without causing motion. Neglect the size of the peg and the length of cord draped over it.


Given:

γ = 0.5lb/ft

L = 10 ft

μ s = 0.5



P


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