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The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is Io Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

a
Io+ML24
b
Io+2ML2
c
Io+ML2
d
I0+ML22

detailed solution

Correct option is A

The theorem of parallel axis for moment of inertia.        I = ICM+Mh2        I = Io+M(L2)2          = Io+ML24

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The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid-point and perpendicular to its length is I0 , Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is


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