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Question

The moment of inertia of a solid sphere about an axis passing through the centre of gravity is 25MR2; then its radius of gyration about a parallel axis at a distance 2R from first axis is

A
5R
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B
225 R
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C
52 R
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D
125 R
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Solution

The correct option is A 5R
Moment of inertia of sphere= 25MR2

Moment of inertia w.r.t. yy aixs:
Iyy=Icm+M(2R)2
Iyy=25MR2+M(2R)2Iyy=225MR2

On considering the point mass, having radius of gyratio = k
Mk2=225MR2k=225R
Hence, option A is correct.

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