Q.

Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpendicular to the plane of the wire passing through the centre is:

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a

ML2π2

b

14ML2π2

c

12ML2π2

d

25ML2π2

answer is A.

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Detailed Solution

Since all element of wire are same distance from axis, moment of Inertia is I=Mr2 
Where r=Lπ  is radius of semicircle 

 I=MLπ2 I=ML2π2
 

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