Halliday, Resnick & Walker — Rotation: Problem Problem_84

Newton’s second law for rotation. Figure 10.35 shows a uniform disk, with mass \( M = 2.5 \text{ kg} \) and radius \( R = 20 \text{ cm} \), mounted on a fixed horizontal axle. A block with mass \( m = 1.2 \text{ kg} \) hangs from a massless cord that is wrapped around the rim of the disk. Find (a) the acceleration of the falling block, (b) the tension in the cord, and (c) the angular acceleration of the disk. The cord does not slip, and there is no friction at the axle.