A solid uniform cylinder of mass 3.25 kg, diameter 65.0 cm and length 12.4 cm, is connected to a block of mass 1.50 kg by a massless string passing over two frictionless pulleys, as shown below. The string is wrapped around the cylinder and doesn’t slip. The cylinder is free to rotate about an axis through its center perpendicular to its circular faces, and the system is released from rest. A. Draw free body diagrams for the cylinder and for the block. B. What is the acceleration of the block after it is released?
C. How far must the 1.50 kg block fall before it reaches a speed of 2.50 m/s?
D. How fast is the cylinder turning at this instant (i. e. at the instant the block is moving at 2.50 m/s)?
The rotational inertia of a solid cylinder of mass M and radius R rotating about its central axis is I = 2 1/2MR