A light, flexible rope is wrapped several times around a ?hollow? cylinder, with a weight of 40.0 N and a radius of 0.25 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 5.00 m, at which point the end of the rope is moving at 6.00 m/s. If the rope does not slip on the cylinder, what is P?
Solution 44E Step 1: Given data: Weight of cylinder w = 40.0 N Acceleration due to gravity g = 9.8 m/s 2 2 Mass of cylinder M = w/g = 40.0 N/9.80 m/s = 4.081 kg Radius of cylinder R = 0.25 m The rope is pulled with a constant force for a distance d = 5.0 m End of rope moving at speed v = 6.0 m/s. f