Question

The over bridge of a canal is convex upwards in the from of a circuit are of radius R,What is the greatest constant speed at which a motor cyclist can cross the bridge without leaving the ground?

• A. $\sqrt{5gR}$
• B. $\sqrt{3gR}$
• C. $\sqrt{2gR}$
• D. $\sqrt{gR}$

Answer 1

The correct option is D $\sqrt{gR}$

Centrifugal force should be less than weight

$\frac{m{v}^2}{R}\le mg$

$v\le \sqrt{gR}$

Hence, maximum velocity can be $\sqrt{gR}$