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Theory of Machines Miscellaneous

  1. In an epicyclic gear train, shown in the figure, the outer ring gear is fixed, while the sun gear rotates counterclockwise at 100 rpm. Let the number of teeth on the sun planet and outer gears to be 50, 25 and 100, respectively. The ratio of magnitude of angular velocity of the planet gear to the angular velocity of the carrier arm is __________.
    1. -3
    2. -2
    3. 2
    4. 3
Correct Option: A


NS = 100 ⇒ x + y = 100 ...(i)
NR = 0 ⇒ 0.5x + y = 0 ...(ii)
By solving eqn (i) and (ii), we get

x =
200
,
3

y =
100
3

NP
=
-2x + y
Narmy



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