The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the di

Question

The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius and mass about a tangential axis in the plane of the ring is\

Professor PC Thomas Classes · Answer

(c) : Radius of gyration of disc about a tangential axis in the plane of disc is $\frac{\sqrt{5}}{2} R=K_{1}$, radius of gyration of circular ring of same radius about a tangential axis in the plane of circular ring is $$ K_{2}=\sqrt{\frac{3}{2}} R \quad 	herefore \frac{K_{1}}{K_{2}}=\frac{\sqrt{5}}{\sqrt{6}} $$