Questions

A rectangular loop has mass M and sides a and b. An axis ${\mathrm{OO}}^{\text{'}}$ passes tlrrough the centre C of the loop and is parallel to side a (lie in the plane of the loop). Then the radius of gyration of the loop, for the axis ${\mathrm{OO}}^{\text{'}}$ is

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a
b2b+3a3(b+a)
b
(a2+b2)12
c
b2+3a212
d
none of these
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detailed solution

Correct option is A

Let λ be the linear mass density.K00'=Ioo'M=2(λa).b22+112.(λb).b22λ(a+b)=b2(3a+b)3(a+b)

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