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  4. The radius of gyration of a uniform rod of length L about an axis passing through its centre of mass is

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Q. The radius of gyration of a uniform rod of length $L$ about an axis passing through its centre of mass is

System of Particles and Rotational Motion

Solution:

$I=M k^2=\frac{M L^2}{12} $
$ \therefore k=\frac{L}{\sqrt{12}}$