GATE ME 2026 Set 1 — Question 20
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Theory of Machines & Vibrations → Balancing, Flywheels & Gyroscopes → Gyroscope & Gyroscopic Couple
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Question
The rotor of an aeroplane engine has a mass moment of inertia . The engine rotates at a speed of in the clockwise direction if viewed from the front of the aeroplane. If the aeroplane while flying at turns with a radius of at same elevation, then the magnitude of the gyroscopic moment exerted by the rotor on the aeroplane structure in is
Correct answer
(A) 8.73
Solution
Given data:
- Mass moment of inertia of the rotor,
- Speed of the rotor,
- Angular velocity of the rotor,
- Linear velocity of the aeroplane,
- Radius of turn,
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