Halliday, Resnick & Walker — Rotation: Problem 51

51 In Fig. 10-32, block 1 has mass \(m_1 = 460 \text{ g}\), block 2 has mass \(m_2 = 500 \text{ g}\), and the pulley, which is mounted on a horizontal axle with negligible friction, has radius \(R = 5.00 \text{ cm}\). When released from rest, block 2 falls \(75.0 \text{ cm}\) in \(5.00 \text{ s}\) without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension \(T_2\) and (c) tension \(T_1\)? (d) What is the magnitude of the pulley’s angular acceleration? (e) What is its rotational inertia?