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Find the moment of inertia of a sphere a...

Find the moment of inertia of a sphere about a tangent to the sphere, while the mass of the sphere is M and the radius of the sphere is R.

A

`2/5 MR^(2)`

B

`6/5 MR^(2)`

C

`4/5 MR^(2)`

D

`7/5 MR^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Moment of inertia of the solid sphere of mass M and radius R about any diameter is
`I_("diameter") = 2/5 MR^(2)`
According to theorem of parallel axes
`I_("tangent")=I_("diameter") + MR^(2)`
`=2/5MR^(2)+MR^(2)=7/5MR^(2)`
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