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A wire or length L is made into a semicircle or a half circle. Find Moment of inertia passing through any of its ends
About one of it’s end,I = Icom + Md^2 where d = 2R/pi is the radius of ring.Now for Icom = I – Md^2Icom = Mr^2(1 – 4/pi^2) and from pythodorus theorem,h^2 let = R^2[1 + 4/pi^2] Hence,Total monet of inertia => R^2[1 + 4/pi^2] + R^2[1 - 4/pi^2]
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