An 18-tooth pinion with a diametral pitch of 6 rotates 1800 rpm and drives a 36-toothgear at 900 rpm in a gear speed reducer. The pinion and gear with 20°full-depthinvolute teeth are keyed to shafts that are simply supported by bearings. The bear-ings on each shaft are 2.0 in. from the gear center. If the gears transmit 0.5 hp,whatare the forces on the pinion,gear,and shafts?