GATE ME 2015 Set 2 — Question 19
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumKinematic Pairs, Chains & DOFMechanisms & LinkagesTheory of Machines & VibrationsSimple, Compound & Epicyclic TrainsCams, Gears & Gear Trains
Theory of Machines & Vibrations → Cams, Gears & Gear Trains → Kinematic Pairs, Chains & DOF
Last updated
Question
The number of degrees of freedom of the planetary gear train shown in the figure is
Correct answer
(C) 2
Solution
Links: frame (1), arm (2), 50-teeth sun gear (3), 20-teeth planet gear (4), so .Lower pairs (revolute): arm–frame, sun–frame, planet–arm, so .
Higher pair: the sun–planet gear mesh, so .By the Kutzbach criterion,Physically: the arm and the sun gear can both be rotated independently; once both speeds are fixed, the planet's motion is determined. Two independent inputs are needed.Answer: (C) 2
Higher pair: the sun–planet gear mesh, so .By the Kutzbach criterion,Physically: the arm and the sun gear can both be rotated independently; once both speeds are fixed, the planet's motion is determined. Two independent inputs are needed.Answer: (C) 2
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…