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Question

Two solid spheres of same mass and radius are in contact with each other. If the moment of inertia of a sphere about its diameter is I, then the moment of inertia of both the spheres about the tangent at their common point would be

A
3 I
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B
7 I
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C
4 I
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D
5 I
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Solution

The correct option is B 7 I

The moment of inertia of a sphere about its diameter is given as,

I=25MR2

The moment of inertia of the sphere about the tangent is given as,

I=25MR2+MR2

I=75MR2

The total moment of inertia of both spheres about the common tangent is given as,

It=2I

It=2×75MR2

It=7I


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