The yo-yo has a mass m and a radius of gyration k about its center O. The cord has a max...

The yo-yo has a mass m and a radius of gyration k about its center O. The cord has a maximum length y = L and is wound around the small inner hub of radius r with its end secured to a point on the hub. If the yo-yo is released from the position y = 0 with a downward velocity v_O of its center O, determine the tension T in the cord and the acceleration a of its center during its downward and upward motions. Also find the maximum downward velocity v of its center.