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Posted: May 12th, 2024

The double-reduction helical gearset shown in Figure

Purdue University - West LafayetteSchool of Engineering TechnologyMET 21400 - Machine Elements, Spring 2015Homework 4 (Due: Friday, April 3, 2015)Problem 1 –The double-reduction helical gearset shown in Figure 2 is driven through shaft a at a speed of1200 rev/min. Gears 2 and 3 have a normal diametral pitch of 10 teeth/in, a 30◦ helix angle, and anormal pressure angle of 20◦. The second pair of gears in the train, gears 4 and 5, have a normaldiametral pitch of 6 teeth/in, a 25◦ helix angle, and a normal pressure angle of 20◦. The toothnumbers are: N2 = 14, N3 = 54, N4 = 16, N5 = 36. The power transmitted through gear set is 25hp. Find:a) The speed and direction of shaft c.b) The center distance between shaftsc) The forces acting between each pair of gearsd) Draw all gear and reaction forces on shafts. Show all forces at their points of applications and their properdirections. (you may also use an “exploded assembly” pictorial view of the gear set)

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