GATE ME 2018 Set 2 — Question 16
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Theory of Machines & Vibrations → Cams, Gears & Gear Trains → Simple, Compound & Epicyclic Trains
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Question
A frictionless gear train is shown in the figure. The leftmost 12-teeth gear is given a torque of 100 N-m. The 48-teeth gear and a 12-teeth gear are mounted on the same shaft, and this 12-teeth gear meshes with the 60-teeth gear. The output torque from the 60-teeth gear on the right in N-m is

Correct answer
(D) 2000
Solution
Number the gears 1 to 4 from left to right: , , (on the same shaft as gear 2), .For a frictionless train, power is conserved, so torque scales with the speed reduction:
- Stage 1 (12 → 48): N-m (gear 3 carries the same torque, being on the same shaft).
- Stage 2 (12 → 60): N-m.
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