(Solved): show all steps please. The helical gears shown in the figure have a diametral pitch of 5 and a 20 ...

The helical gears shown in the figure have a diametral pitch of 5 and a 20° normal pressure angle and 30° helix angle. The pinion 2 rotates at 1000 rev/min clockwise and transmits 200 hp to gear 3 on shaft b. Gears 3 and 4 are located on shaft b, where 75 hp is extracted for external use. The remaining 125 hp is transmitted to shaft c through gears 4 and 5. Gearing ratio between first set of gears is 2 and the second set is 2.5. a. Determine the minimum number of teeth on all gears to avoid interference. b. Determine the magnitude and direction forces on all gears. c. Determine the magnitude, direction and location of forces on all shafts. Assume origin is located on shaft a and full depth tooth gears. 5 x