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Offline Centres

Q.

A rectangular loop has mass M and sides a and b. An axis OO' 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 OO' is

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a

b2b+3a3(b+a)

b

(a2+b2)12

c

b2+3a212

d

none of these

answer is A.

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Detailed Solution

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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