(Solved): 1. (a) Write Newton's second law for rotational motion. (b) As shown in the figure, Atwood's machi ...

1. (a) Write Newton's second law for rotational motion. (b) As shown in the figure, Atwood's machine consists of two masses connected by a string that passes over a pulley. Consider the pulley to be massless and frictionless. Show in detail that, if released for rest, \( m_{2} \) takes a time \[ t=\sqrt{\frac{2 h\left(m_{2}+m_{1}\right)}{g\left(m_{2}-m_{1}\right)}} \] to reach the floor. ( \( 10 \mathrm{pts}) \)