The moment of inertia of a hollow cylinder of radius R and mass M about an axis passing through the outer circumference along the height of the hollow cylinder is
A
MR2
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B
MR22
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C
4MR2
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D
2MR2
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Solution
The correct option is D2MR2
Let Icom be the moment of inertia of the hollow cylinder about the axis passing through its C.O.M.
Applying parallel axis theorem, I=Icom+Md2[∵ here d=R] =MR2+MR2 [∵Icom=MR2 for hollow cylinder] ⇒I=2MR2