Circular Motion | JEE Main 2025 | Banked Road with Friction

JEE MAIN 2025

24-01-2025 SHIFT-1

Question

A car of mass 'm' moves on a banked road having radius 'r' and banking angle $\theta $. To avoid slipping from banked road, the maximum permissible speed of the car is ${v_0}$. The coefficient of friction $\mu$ between the wheels of the car and the banked road is

Select the correct option:

$\mu = \frac{{v_o^2 - rg\tan \theta }}{{rg + v_o^2\tan \theta }}$

$\mu = \frac{{v_o^2 + rg\tan \theta }}{{rg - v_o^2\tan \theta }}$

$\mu = \frac{{v_o^2 - rg\tan \theta }}{{rg - v_o^2\tan \theta }}$

$\mu = \frac{{v_o^2 + rg\tan \theta }}{{rg + v_o^2\tan \theta }}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution