A thin wire of length l and mass m is bent in the form of a semicircle as shown in the figure. Its moment of inertia about an axis joining its free ends will be A. `m l^(2)`B. zeroC. `m l^(2)// pi^(2)`D. `m l^(2)//2 pi^(2)`

A thin wire of length l and mass m is bent in the form of a semicircle

1.	A thin wire of length l and mass m is bent in the form of a semicircle as shown in the figure. Its moment of inertia about an axis joining its free ends will be A. `m l^(2)`B. zeroC. `m l^(2)// pi^(2)`D. `m l^(2)//2 pi^(2)`
Answer» Correct Answer - D `pi R = l therefore = (l)/(pi)` M..I. of ring about its diameter `=(1)/(2)MR^(2)` `therefore` MI of semicircle `=(1)/(2)m((l)/(pi))^(2)=(ml^(2))/(2pi^(2))`

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A thin wire of length l and mass m is bent in the form of a semicircle as shown in the figure. Its moment of inertia about an axis joining its free ends will be A. `m l^(2)`B. zeroC. `m l^(2)// pi^(2)`D. `m l^(2)//2 pi^(2)`

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