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Q. The radius of gyration of a solid cylinder of mass $M$ and radius $R$ about its own axis is

KEAMKEAM 2012System of Particles and Rotational Motion

Solution:

The radius of gyration of a solid cylinder
$k=\sqrt{\frac{I}{M}}=\sqrt{\frac{M R^{2}}{2}} $
$k=\frac{R}{\sqrt{2}}$