Reaction Of Road On Car - Practice Questions & MCQ

1. When bridge is concave

$\begin{aligned} & \text { Centripetal force }=R-m g \cos \theta=\frac{m v^2}{r} \\ & \text { Reaction } \mathrm{R}=m g \cos \theta+\frac{m v^2}{r} \\ & \mathrm{R}=\text { reaction } \\ & \mathrm{V}=\text { velocity } \\ & \mathrm{r}=\text { radius }\end{aligned}$

2. When the bridge is convex

$\begin{aligned} & F_c=m g \cos \theta-R=\frac{m v^2}{r} \\ & R=m g \cos \theta-\frac{m v^2}{r} \\ & \mathrm{R}=\text { reaction } \\ & \mathrm{F}_{\mathrm{c}}=\text { centripetal force } \\ & \mathrm{mg}=\text { weight } \\ & \theta=\text { angle of } \mathrm{R} \text { with vertical } \\ & \mathrm{V}=\text { tangential velocity }\end{aligned}$