Question

A vehicle is moving with a velocity v on a curved smooth road of width b and radius of curvature R. To provide the centripetal force to the vehicle, the difference in elevation required between the outer and inner edges is

• A. $\frac{v^{2}b}{Rg}$
• B. $\frac{vb}{Rg}$
• C. $\frac{{vb}^2}{Rg}$
• D. $\frac{vb}{R^{2}g}$

Answer 1

The correct option is A $\frac{v^{2}b}{Rg}$

The balanced force equation in y direction is given by,
$Ncos\theta =Mg$...(i)

The balanced force equation x direction is given by,
$Nsin\theta =m\frac{V^2}{R}$....(ii)

Dividing (i) by (ii),

$tan\theta =\frac{V^2}{Rg}$

or, $\frac{h}{b}=\frac{V^2}{Rg}$

or, $h=\frac{V^{2}b}{Rg}$ is our required answer.

Hence, the correct answer is option (A).