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  4. The moment of inertia of a circular disc of radius 2 m and mass 1 kg about an axis passing through the centre of mass but perpendicular to the plane of the disc is 2 kg m2. Its moment of inertia about an axis parallel to this axis but passing through the edge of the disc is............. (See the given figure).

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Q. The moment of inertia of a circular disc of radius $2\,m$ and mass $1\,kg$ about an axis passing through the centre of mass but perpendicular to the plane of the disc is $2\,{kg\,m}^2$. Its moment of inertia about an axis parallel to this axis but passing through the edge of the disc is............. (See the given figure).Physics Question Image

KCETKCET 2010System of Particles and Rotational Motion

Solution:

image
According to parallel axis theorem
$I_{X.Y'} =I_{X Y}+M R^{2}$
$=2+(1)(2)^{2}$
$=6 kg - m ^{2}$