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Question

A sphere of mass 15 kg and radius 0.75 m rotates about a tangent. The moment of inertia of the sphere is:

A
15kgm2
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B
11.8kgm2
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C
13kgm2
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D
9kgm2
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Solution

The correct option is B 11.8kgm2
Moment of inertia of a solid sphere about the diameter is 2MR2/5
Moment of inertia of the solid sphere about its tangent is obtained using parallel axis theorem.= 2MR2/5+MR2=7MR2/5
Substituting the values of M and R, we get, I=7×15×0.752/5=11.81
Thus the correct options is (b)

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