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Question

Physics Question on System of Particles & Rotational Motion

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

A

MR2MR^2

B

32MR2\frac {3}{2} MR^2

C

2MR22MR^2

D

MR22\frac {MR^2} {2}

Answer

32MR2\frac {3}{2} MR^2

Explanation

Solution

I11=ICM+MR2=12MR2+MR2=32MR2I_{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