Two particles having mass $M$ and $m$ are moving in a circular path having radius $R$ and $r$. If th

Question

Two particles having mass $M$ and $m$ are moving in a circular path having radius $R$ and $r$. If their time periods are same then the ratio of their centripetal accelerations will be

Professor PC Thomas Classes · Answer

(b) : $\omega=\frac{2 \pi}{T}$; As $T$ is same, $\omega_{1} = \omega_{2}$. \ Centripetal acceleration $a_{c} = \omega^{2} r$. \ $	herefore \frac{a_{c1}}{a_{c2}} = \frac{\omega^{2} R}{\omega^{2} r} = \frac{R}{r}$