A solid uniform 3.25kg cylinder, 60.0cm in diameter and 12.4cm long, is connected to a 1.50kg weight over two massless frictionless pulleys as shown in the figure (Figure 1) . The cylinder is free to rotate about an axle through its center perpendicular to its circular faces, and the system is released from rest.
(a) How far must the 1.50kg weight fall before it reaches a speed of 3.90m/s
(b) How fast is the cylinder turning at this instant?