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Q. M.O.I. of a cylinder around its generator is

System of Particles and Rotational Motion

Solution:

$I_{11} = I_{CM} + MR^2 = \frac{1}{2} MR^2 + MR^2 = \frac{3}{2} MR^2$
Generator of a cylinder is the axis tangential to surface of cylinder and parallel to main axis of the cylinder

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