22. The solid pulley in Figure P9.22 consists of a two-part disk, which initially rotates counterclockwise. Two ropes pull on the pulley as shown. The inner part has a radius of 1.5a, and the outer part has a radius of 2.0a. (a) Construct a force diagram for the pulley with the origin of the coordinate sys- tem at the center of the pulley. (b) Determine the torque produced by each force (including the sign) and the resultant torque exerted on the pulley. (c) Based on the results of part (b), decide on the signs of the rotational velocity and the rotational acceleration. positive (ie counter-clockwise) negative (ie clockwise) FIGURE P9.22 O the rotational acceleration is zero 1 Ton P 2 Part(c), what is the sign of the rotational acceleration? 1.5 Ton P

22. The solid pulley in Figure P9.22 consists of a two-part disk, which initially rotates counterclockwise. Two ropes pull on the pulley as shown. The inner part has a radius of 1.5a, and the outer part has a radius of 2.0a. (a) Construct a force diagram for the pulley with the origin of the coordinate sys- tem at the center of the pulley. (b) Determine the torque produced by each force (including the sign) and the resultant torque exerted on the pulley. (c) Based on the results of part (b), decide on the signs of the rotational velocity and the rotational acceleration. positive (ie counter-clockwise) negative (ie clockwise) FIGURE P9.22 O the rotational acceleration is zero 1 Ton P 2 Part(c), what is the sign of the rotational acceleration? 1.5 Ton P