A light, flexible rope is wrapped several times around a hollow cylinder, with a

Question

A light, flexible rope is wrapped several times around a hollow cylinder, with a weight of 39.5 N and a radius of 0.21 m, that rotates without friction about a fixed horizontal axis. The cylinder is attached to the axle by spokes of a negligible moment of inertia. The cylinder is initially at rest. The free end of the rope is pulled with a constant force P for a distance of 4.65 m, at which point the end of the rope is moving at 5.85 m/s. If the rope does not slip on the cylinder, what is the value of P?

Explanation / Answer

W = dKE

dKE = 1/2 I w^2 and w = v/r and I = M R^2

W = F d

P*4.65 = 0.5*(39.5/9.81)*0.21^2*(5.85/0.21)^2

P=14.82 N

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