A 4.8 kg weight, mw, slides down a frictionless ramp that is at an angle of  = 22 with respect to the horizontal. The weight is attached to a massless string, which in turn is threaded over a pulley (solid disk) of radius rp = 4.5 cm and mass mp = 0.55 kg. The string is then wound around a thin hollow metal cylinder (hoop) of radius rc = 9.4 cm and mass mc = 8.6 kg. Assuming the wheel starts from rest, find its velocity after it has traveled a distance s = 15 cm down the ramp.