A thin disc of mass | RIGID BODY DYNAMICS | JEE MAIN 2019

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Question

A thin disc of mass $M$ and radius $R$ has mass per unit area $\sigma(r)=k r^2$ where $r$ is the distance from its centre. Its moment of inertia about an axis going through its centre of mass and perpendicular to its plane is:

Select the correct option:

A

$\frac{\mathrm{MR}^2}{3}$

B

$\frac{\mathrm{MR}^2}{6}$

C

$\frac{\mathrm{MR}^2}{2}$

D

$\frac{2 \mathrm{MR}^2}{2}$

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