A ring of mass 2.40 kg, inner radius 6.00 cm, and outer
radius 8.00 cm rolls (without slipping) up an inclined
plane that makes an angle of 36.9° . At
the moment the ring is at position x 2.00 m up the
plane, its speed is 2.80 m/s. The ring continues up the
plane for some additional distance and then rolls back
down. It does not roll off the top end. How far up the
plane does it go?