Question
A car is negotiating a curved road of radius R. The road is banked at angle . The coefficient of friction between the tyres of the car and the road is
. The maximum safe velocity on this road is,
Solution
A.

A car is negotiating a curved road of radius R. The road is banked at angle and the coefficient of friction between the tyres of car and the road is
.
The given situation is illustrated as:
In the case of vertical equilibrium,
N cos = mg + f1 sin
mg = N cos
... (i)
In the case of horizontal equilibrium, ... (ii)
Dividing Eqns. (i) and (ii), we get