Halliday, Resnick & Walker — Rotation: Problem Problem_51

In Fig. 10.22, 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?