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Question: A solid cylinder has mass M, length L and radius R. The moment of inertia of this cylinder about a g...

A solid cylinder has mass M, length L and radius R. The moment of inertia of this cylinder about a generator is:

A
B

ML24\frac { \mathrm { ML } ^ { 2 } } { 4 }

C

1/2 MR2

D

3/2 MR2.

Answer

3/2 MR2.

Explanation

Solution

Generator axis of a cylinder is a line lying on it's surface and paralled to axis of cylinder.

By paralled axis theorem

I=MR22+MR2=32MR2\mathrm { I } = \frac { \mathrm { MR } ^ { 2 } } { 2 } + \mathrm { MR } ^ { 2 } = \frac { 3 } { 2 } \mathrm { MR } ^ { 2 }