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Question

The moment of inertia of a uniform circular disc about its diameter is 200 gm cm2. Then its moment of inertia about an axis passing through its center and perpendicular to its circular face is

A
100 gm cm2
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B
200 gm cm2
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C
400 gm cm2
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D
1000 gm cm2
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Solution

The correct option is C 400 gm cm2
Moment of inertia of the disc about its diameter is half of the moment of inertia of disc about its center of mass and perpendicular to its plane.
Given : Idiameter=200 gm cm2
Idiameter=12×ICM
ICM=2Idiameter=2×200=400 gm cm2

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