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Questions  

A thin wire AB of length l and mass m is bent in the form of a semicircle as shown in fig. Its moment

of inertia about an axis joining its free ends will be

a
ml2
b
Zero
c
ml2/π2
d
ml2/2π2

detailed solution

Correct option is D

Here, πr=l  or  r=l/πThe moment of inertia of a ring about its diameter is given by I=12Mr2∴Moment of inertia of semicircle=12mlπ2=ml22π2

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