(Solved): See Figure P12-2. The shaft rotating at \( 200 \mathrm{rpm} \) carries a spur gear \( \mathrm{C} \ ...

See Figure P12-2. The shaft rotating at \( 200 \mathrm{rpm} \) carries a spur gear \( \mathrm{C} \) having 80 teeth with a diametral pitch of 8 . The teeth are of the \( 20^{\circ} \), full-depth, involute form. The gear delivers \( 6 \mathrm{hp} \) to a pinion directly below it. (40pts) a. Compute the torque delivered by the shaft to gear \( \mathrm{C} \) and the tangential (5pts) and radial (5pts) forces exerted on the shaft by the gear b. The shaft rotating at \( 200 \mathrm{rpm} \) carries a 6-in-diameter chain sprocket \( \mathrm{D} \) that delivers \( 4 \mathrm{hp} \) to a mating sprocket above. Compute the torque(5pts) delivered by the shaft to sprocket D and the force exerted (5pts) on the shaft by the sprocket. c. The shaft rotating at \( 200 \mathrm{rpm} \) carries a 20-in-diameter flat-belt pulley at A that receives \( 10 \mathrm{hp} \) from below. Compute the torque (5pts) delivered by the pulley to the shaft and the force exerted (5pts) on the shaft by the pulley. d. Force and Moment Diagrams (10pts) FIGURE P12-2 (Problems \( \angle, 1 \angle, 15 \), and \( \angle S \) )