A block of inertia (m) sits on a smooth surface (Figure P12.59). A light string is attached

Question:

A block of inertia $m$ sits on a smooth surface (Figure P12.59). A light string is attached to it and placed over a solid pulley of inertia $3 m$ and radius $R$, and a ball of inertia $m$ is attached to the free end of the string.

(a) If there is no slippage between string and pulley, determine the magnitude of the block's acceleration.

(b) If you detach the ball and pull down on the hanging string with a force of magnitude $m g$, what is the magnitude of the block's acceleration?

Data from Figure P12.59

image text in transcribed