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  4. Seven identical circular planar disks, each of mass M and radius R are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point P is -

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Q. Seven identical circular planar disks, each of mass $M$ and radius $R$ are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point $P$ is -Physics Question Image

JEE MainJEE Main 2018System of Particles and Rotational Motion

Solution:

$I_{0} =\frac{MR^{2} }{2} + 6 \left( \frac{MR^{2}}{2} + M\left(2R\right)^{2}\right) $
$I_{P} = I_{o} + 7 M\left(3R\right)^{2} $
$= \frac{181}{2}MR^{2} $