Newton’s second law for rotational motion A pulley such as that...

Newton’s second law for rotational motion

A pulley such as that shown in Figure P8.25 has rotational inertia 10 kg ^. m². Three ropes wind around different parts of the pulley and exert forces T_{1 on W} = 80 N, T_{2 on W} = 100 N, and T_{3 on W} = 50 N. Determine (a) the rotational acceleration of the pulley and (b) its rotational velocity after 4.0 s. It starts at rest.