Practicing Success
The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is : |
\(\sqrt{2} : \sqrt{3}\) \(\sqrt{3} : \sqrt{2}\) 1 : \(\sqrt{2}\) \(\sqrt{2}\) : 1 |
1 : \(\sqrt{2}\) |
\(\frac{I_{disc}}{I_{ring}} = \frac{MR^2/ 2}{MR^2} = \frac{Mk_{disc}^2}{Mk_{ring}^2} \) \(\frac{k_{disc}}{k_{ring}} = \frac{1}{\sqrt{2}}\) |