GATE ME 2014 Set 2 — Question 43
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Engineering Mechanics → Balancing, Flywheels & Gyroscopes → Dynamics of Rigid Bodies
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Question
Consider a flywheel whose mass is distributed almost equally between a heavy, ring-like rim of radius and a concentric disk-like feature of radius . Other parts of the flywheel, such as spokes, etc. have negligible mass. The best approximation for , if the moment of inertia of the flywheel about its axis of rotation is expressed as , is _______
Correct answer
0.55 to 0.57
Solution
The flywheel consists of two parts, each with mass :
1.Ring-like rim of radius : The moment of inertia of a thin ring about its central axis is given by . Here, and .
2.Concentric disk of radius : The moment of inertia of a solid disk about its central axis is given by . Here, and .
The total moment of inertia is the sum of the individual moments of inertia:Comparing this with the given expression , we find:The value falls within the specified range of to .Continue learning with Success Tracker
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