GATE ME 2018 Set 2 — Question 16
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumSimple, Compound & Epicyclic TrainsCams, Gears & Gear TrainsTheory of Machines & Vibrations
Theory of Machines & Vibrations → Cams, Gears & Gear Trains → Simple, Compound & Epicyclic Trains
Last updated
Question
A frictionless gear train is shown in the figure. The leftmost 12-teeth gear is given a torque of 100 N-m. The output torque from the 60-teeth gear on the right in N-m is
Correct answer
(D) 2000
Solution
Let the gears be numbered 1 to 4 from left to right.
, , , .
Torque at gear 1, N-m.
The gear ratio for the first stage (gears 1 and 2) is:
The gear ratio for the second stage (gears 3 and 4) is:
The overall gear ratio is the product of the individual stage ratios:
For a frictionless gear train, power is conserved ().
The speed ratio is equal to the gear ratio .
N-m.
, , , .
Torque at gear 1, N-m.
The gear ratio for the first stage (gears 1 and 2) is:
The gear ratio for the second stage (gears 3 and 4) is:
The overall gear ratio is the product of the individual stage ratios:
For a frictionless gear train, power is conserved ().
The speed ratio is equal to the gear ratio .
N-m.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Cams, Gears & Gear Trains
2026 Set 1 Q17A gear train with five gears is shown in the figure below. The number of teeth on each gear is…2026 Set 1 Q18In a single degree of freedom vibrating system with only viscous damping, the critical damping…2026 Set 1 Q20The rotor of an aeroplane engine has a mass moment of inertia . The engine…2026 Set 1 Q22Worm gearsets are used for transmitting rotary motion between2026 Set 1 Q42A 5 kg mass is suspended at the free end of an overhanging massless beam, having a pin support and…