Problem 3. Below figure shows a double-reduction helical gearset. Pinion 2 is the driver, and it receives a torque of 1200 lbf.in from its shaft in the direction shown. Pinion 2 has a normal diametral pitch of 8 teeth/in, 14 teeth, and a normal pressure angle of 20° and is cut right-handed with a helix angle of 30°. The mating gera 3 on shaft b has 36 teeth. Gear 4, which is driver for the second pair of gears in the train, has a normal diametral pitch of 5 teeth/in, 15 teeth, and a normal pressure angle of 20° and is cut left- handed with a helix angle 15°. Mating gear 5 has 45 teeth. Find the magnitude and direction of the force exerted by the bearings C and D on shaft b if bearing C can take only radial load while bearing D is mounted to take both radial and thrust load. (Write reactions at C and D in the form of vectors, and make sure that the directions of the forces shown in the free body diagram are correct) E 5 3- 3½- A 2 F 2 3 B b a