GATE ME 2015 Set 3 — Question 12
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Theory of Machines & Vibrations → Balancing, Flywheels & Gyroscopes → Flywheels & Governors
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Question
For the same material and the mass, which of the following configurations of flywheel will have maximum mass moment of inertia about the axis of rotation passing through the center of gravity.
Correct answer
(B) Rimmed wheel [figure]
Solution
Mass moment of inertia () is defined as . For a given mass, the moment of inertia is maximized when the mass is distributed as far as possible from the axis of rotation.
- In a rimmed wheel, almost all the mass is concentrated at the outer radius (the rim), resulting in the largest possible radius of gyration ().
- In solid cylinders, spheres, and cubes, the mass is distributed throughout the volume, including regions very close to the axis of rotation, which reduces the overall moment of inertia compared to a rimmed wheel of the same mass.
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