A light, inelastic rope is wrapped around a cylinder, passes over a pulley, and is attached to one end of a spring of spring constant k = 7 N/m. The other end of the spring is attached to a stationary point on the ground . The cylinder and the pulley turn without friction about stationary axles through their centers. The uniform cylinder has mass mC = 5.00 kg and radius rC = 40.0 cm. The pulley is a uniform disk having mP = 2.00 kg and radius rP = 20.0 cm. The cylinder is "wound-up" so that the spring is stretched d = 30.0 cm longer than its equilibrium length, and then released from rest. There is no slipping as the rope unwinds from the cylinder, and there is no slipping between the rope and the pulley. Find the maximum angular velocity of the cylinder, i.e. just as the spring contracts back to its equilibrium length.