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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.

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The moment of inertia of the cylinder about its axis = `MR^2`.Using parallel axes theorem, `I=I_0+MR^2=MR^2+MR^2=2MR^2.`Similarly, the moment of inertia of a hollow sphere about a tangent is `2/3MR^2+MR^2=5/3MR^2`.
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