Physics - W.E.P. Question with Solution | TestHub

The linear velocity of the body, $v=\sqrt{2gh}$ The velocity of the sphere about its centre, $v_{CM}=\sqrt{\frac{2gh}{1+\frac{K^2}{R^2}}}=\frac{v}{\sqrt{1+\frac{K^2}{R^2}}}\dots (\text{ i })$ For uniform solid sphere, $\frac{K^2}{R^2}=\frac{2}{5}$ Substituting value in Eq. (i), we get $v_{CM}=\frac{v}{\sqrt{1+\left(\frac{2}{5}\right)}}=\sqrt{\frac{5}{7}v}$