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Q.

The radius of gyration of a body about an axis at a distance of 12cm from its C.M is 13cm. Then the radius of gyration about a parallel axis through its C.M is______ cm.

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answer is 5.

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Detailed Solution

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$I = I_{0} + {ML}^{2}$

$M {(13)}^{2} = I_{0} + M {(12)}^{2} \Rightarrow I_{0} = M {(5)}^{2}$

Radius of gyration about C.O.M is $K = \sqrt{\frac{I_{0}}{M}}$

K= 5cm

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The radius of gyration of a body about an axis at a distance of 12cm from its C.M is 13cm. Then the radius of gyration about a parallel axis through its C.M is______ cm.