Question

A motorcycle is going on an overbridge of radius $R$. The driver maintains a constant speed. As the motorcycle is ascending on the overbridge, the normal force on it:

• A. increases
• B. decreases
• C. remains the same
• D. fluctuates

Answer 1

The correct option is A increases

From figure reaction of normal force on the motor cyclist
$mg\cos \theta -R=\frac{m{v}^2}{r}R=mg\cos \theta -\frac{m{v}^2}{r}$
As motorcycle ascend on the over bridge, angle of inclination of motorcycle with vertical decreases and becomes zero at at the highest point so ${}^{\prime }cos{\theta }^{\prime }$ goes on increasing and becomes $1$ at highest point value of $R$ is continuously increasing while ascending.