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Theory of Machines Miscellaneous

  1. A frictionless gear train is shown in the figure. The left most 12-teeth gear is given a torque of 100 Nm. The output torque from the 60-teeth gear on the right in Nm is
    1. 5
    2. 20
    3. 500
    4. 2000
Correct Option: D

(1, 2) ⇒ N2 = N1 ×
Z1
= N1 ×
12
=
N1

Z2484

N3 = N2 =
N1
4

(3, 4) ⇒ N4 = N3 ×
Z3
=
N1
×
12

Z4460

N4 =
N1
20

By power conservation, T1 × N1 = T4 × N4
100 × N1 = T4 ×
N1
20

T4 = 2000 N-m



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