Question

A car of mass m moving over a convex bridge of radius r. Find the normal reaction acting on a car when it is at the highest point of the bridge.

Answer 1

In convex bridge

By force body diagram

$㎎-N=\frac{m{v}^2}{R}$

$N$ = Normal force

$m$= mass, $g$ = acceleration due to gravity

$v$= velocity, $R$= Radius

So, $N=㎎-\frac{{Mv}^2}{R}$