We have two spheres, one of which is hollow s | vedclass

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Question

$I_{1}=\frac{2}{5} m r_{1}^{2}, I_{2}=\frac{2}{3} m r_{2}^{2}$

$I_{1}=I_{2} \Rightarrow \frac{r_{1}^{2}}{5}=\frac{r_{2}^{2}}{3} \Rightarrow \frac{r

Vedclass · Accepted Answer

$\sqrt 5 :\sqrt 3 $

Vedclass · Answer

$I_{1}=\frac{2}{5} m r_{1}^{2}, I_{2}=\frac{2}{3} m r_{2}^{2}$

$I_{1}=I_{2} \Rightarrow \frac{r_{1}^{2}}{5}=\frac{r_{2}^{2}}{3} \Rightarrow \frac{r_{1}}{r_{2}}=\sqrt{\frac{5}{3}}$

We have two spheres, one of which is hollow shell and the other solid. They have identical masses and moment of inertia about their respective diameters. The ratio of their radius is given by

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