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Q.

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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a

I0+ML2/4

b

I0+2ML2

c

I0+ML2

d

I0+ML2/2

answer is A.

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Detailed Solution

According to parallel axes theorem, we haveIx′y′=Ixy+Md2=I0+ML22⇒ Ix′y′=I0+ML24
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