Two cars of masses $m_{1}$ and $m_{2}$ are moving in circles of radii $r_{1}$ and $r_{2}$ respectively. Their speeds are such that they make complete circles in the same time $\mathrm{t}$. The ratio of their centripetal force is

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Aicharya · Accepted Answer

Centripetal acceleration, $a_c=\omega^{\mathbf{2}} r$ $\begin{aligned} & \because \quad \omega=\frac{2 \pi}{T} \ & \text {As } T_1=T_2 \Rightarrow \omega_1=\omega_2 \ & \because \quad \frac{a_{c_1}}{a_{c_2}}=\frac{r_1}{r_2}\end{aligned}$ $\begin{aligned} & \mathrm{F}=\mathrm{m} \times \mathrm{a} \ & \frac{\mathrm{F}_1}{\mathrm{F}_2}=\frac{\mathrm{m}_1 \mathrm{r}_1}{\mathrm{m}_2 \mathrm{r}_2}\end{aligned}$

Two cars of masses $m_{1}$ and $m_{2}$ are moving in circles of radii $r_{1}$ and $r_{2}$ respectively.…

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