16. A car travels at a constant velocity along a straight and banked road. The tires are perpendicular to the road. The maximum static friction force follows a normal distribution . The car and its passengers have a mass of . Find the probability that the car will slip. The coefficient of static friction is between the car and road. and are independent.

Solution

N

F_A

mg

y

;

We construct the function

The probability that the car will slip is

Ans.