The moment of inertia of a thin uniform rod of mass
and length
about an axis passing through its midpoint and perpendicular to its length is
. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is
Text Solution
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: According to the theorem of parallel axes, the moment of inertia of the thin rod of mass
and length
about an axis passing through one of the ends is

where
is the moment of inertia of the given rod about an axis passing through its centre of mass and perpendicular to its length and
is the distance between two parallel axes.
Here, 

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