A light, flexible rope is wrapped several times around a hollow cylinder with a weight of 34.0 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 4.00 m, at which point the end of the rope is moving at 7.00 m/s. If the rope does not slip on the cylinder, what is the value of P?