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Theory of Machines Miscellaneous

  1. An epicyclic gear train is shown schematically in the adjacent figure. The sun gear 2 on the input shaft is a 20 teeth external gear. The planet gear 3 is a 40 teeth external gear. The ring gear 5 is a 100 teeth internal gear. The ring gear 5 is fixed and the gear 2 is rotating at 60 rpm ccw(ccw-counterclockwise and cw- clockwise)

    The arm 4 attached to the output shaft will rotate at
    1. 10 rpm ccw
    2. 10 rpm cw
    3. 12 rpm cw
    4. 12 rpm ccw
Correct Option: B

T2 = 20; T3 = 40; T5 =100

Given y –x
T2
= 0
T5

⇒ x = 5y ....(1)
and y + x = 60 ....(2)
Solving (1) and (2), we get
y + 5y = 60
⇒ y = 10 rpm ccw



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