GATE ME 2021 Set 1 — Question 34
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumGyroscope & Gyroscopic CoupleBalancing, Flywheels & GyroscopesTheory of Machines & Vibrations
Theory of Machines & Vibrations → Balancing, Flywheels & Gyroscopes → Gyroscope & Gyroscopic Couple
Last updated
Question
The figure shows an arrangement of a heavy propeller shaft in a ship. The combined polar mass moment of inertia of the propeller and the shaft is kg.m. The propeller rotates at rad/s. The waves acting on the ship hull induces a rolling motion as shown in the figure with an angular velocity of rad/s. The gyroscopic moment generated on the shaft due to the motion described is ________ N.m (round off to the nearest integer).
Correct answer
0 to 0
Solution
The gyroscopic moment is given by , where is the angular momentum. In this case, the propeller shaft is aligned with the longitudinal axis of the ship (x-axis). Rolling motion is defined as rotation about the longitudinal axis. Since the spin angular velocity vector and the precession (rolling) angular velocity vector are parallel, their cross product is zero. Therefore, the gyroscopic moment generated is 0 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 Balancing, Flywheels & Gyroscopes
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…