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Find the moment of inertia of a solid cy...

Find the moment of inertia of a solid cylinder of mass M and radius R about a line parallel to the axis of the cylinder and on the surface of the cylinder.

Text Solution

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The moment of inertia of the cylinder about is axis is
`(MR^(2))/2`.
Using parallel axis theorem.
`I=I_(0)+MR^(2)=(MR^(2))/2+MR^(2)=3/2MR^(2)`
Similarly the moment of inertia of a solid sphere about a tangent is
`2/3 MR^(2)+MR^(2)=7/5MR^(2)`
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