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Theory of Machines Miscellaneous

  1. An epicyclic gear train is shown in the figure below. The number of teeth on the gears A, B and D are 20, 30 and 20 respectively. Gear C has 80 teeth on the inner surface and 100 teeth on the outer surface. If the carrier arm AB is fixed and the sun gear A rotates at 300 rpm in the clockwise direction, then the rpm of D in the clockwise direction is
    1. 240
    2. –240
    3. 375
    4. –375
Correct Option: C

TA = 20,
TB = 30,
TD = 20,
TC = 80 (Inner)
TD = 100 (outer)
Arm is fixed, no epicyclic nature.
Taking clockwise direction as positive.
NA = +300

(A, B)NB =
-300 × 20
= -200
30

(C, C)NC = -200 ×
30
= -75
80

(C, D)ND = +75 ×
100
= +375
20



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