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Question

What is the moment of inertia of a hollow sphere of radius 3 m and mass 2 kg about an axis passing through the geometric centre of the sphere?

A
20 kg-m2
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B
40 kg-m2
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C
12 kg-m2
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D
24 kg-m2
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Solution

The correct option is C 12 kg-m2
Radius of shere;R=3 m
Mass of sphere ;M=2 kg
Moment of inertia of a hollow sphere about an axis passing through the geometric centre of the sphere =2MR23
2×2×323= 12 kg-m2

Moment of inertia of the sphere about as axis passing through its geometric centre = 12 kg-m2

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