Two bodies, a ring and a solid cylinder of sa | vedclass

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Question

${I}$ in both cases is about point of contact $IAOR,$

Ring,

$m g h=\frac{1}{2} I \omega^{2}$

$m g h=\frac{1}{2}\left(2 m R^{2}\right) \frac{v

Vedclass · Accepted Answer

$3$

Vedclass · Answer

${I}$ in both cases is about point of contact $IAOR,$

Ring,

$m g h=\frac{1}{2} I \omega^{2}$

$m g h=\frac{1}{2}\left(2 m R^{2}\right) \frac{v_{R}^{2}}{R^{2}}$

$V_{R}=\sqrt{g h}$

Solid, cylinder

$m g h=\frac{1}{2} I \omega^{2}$

$m g h=\frac{1}{2}\left(\frac{3}{2} m R^{2}\right) \frac{v_{c}^{2}}{R^{2}}$

$V_{R}=\sqrt{\frac{4 g h}{3}}$

$\frac{v_{R}}{v_{c}}=\frac{\sqrt{3}}{2}$

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