Question \#1 The double-reduction helical gearset shown in the figure above is driven through shaft a at a speed of 1200rev/min. Gears 2 and 3 have a normal diametral pitch of 12 teeth/in, a 30 helix angle, and a normal pressure angle of 20. The second pair of gears in the train, gears 4 and 5, have a normal diametral pitch of 6 teeth/in, a 25 helix angle, and a normal pressure angle of 20. The tooth numbers are: N2= 14,N3=54,N4=16,N5=36. Find: (a) The directions of the thrust force exerted by each gear upon its shaft (b) The speed and direction of shaft c (c) The center distance between shafts