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Question: Figure shows a disc of mass M and radius R lying in the xy-plane with its centre on x-axis, at a dis...

Figure shows a disc of mass M and radius R lying in the xy-plane with its centre on x-axis, at a distance a from the origin. The moment of inertia of the disc about x-axis will be –

A

12\frac { 1 } { 2 } MR2

B

14\frac { 1 } { 4 } MR2

C

12\frac { 1 } { 2 } M (R2 + 2a2)

D

14\frac { 1 } { 4 }M (R2 + 4a2)

Answer

14\frac { 1 } { 4 } MR2

Explanation

Solution

Ix = mR24\frac { \mathrm { mR } ^ { 2 } } { 4 } [x-axis is diameter of disc]