Question

The motion of a car on a banked road is shown in the figure. The centripetal force equation will be given by

• A. $N \sin \theta+f \cos \theta=\frac{ mv ^2}{ R }$
• B. $f=\frac{ mv ^2}{ R }$
• C. $N \cos \theta+f=\frac{ mv ^2}{ R }$
• D. $N \sin \theta+f=\frac{ mv ^2}{ R }$

Answer 1

Answer: (A)

Clearly form the figure, $N \sin \theta$ and $f \cos \theta$
contribute to the centripetal force.
$\therefore N \sin \theta + f\cos \theta = \frac{mv^2}{R}$