A car is being driven on a tilted ground. The ground makes an angle theta with the horizontal. The driven drives on a circle of radius R. The coefficient of friction between the tires and the ground is mu. (a) What is the largest speed for which the car will not slip at point A? Assume that rate of change of speed is zero. (b) What is the largest constant speed with which the car can be driven on the circle without slipping?

A car is being driven on a tilted ground. The ground makes an angle th

1.	A car is being driven on a tilted ground. The ground makes an angle theta with the horizontal. The driven drives on a circle of radius R. The coefficient of friction between the tires and the ground is mu. (a) What is the largest speed for which the car will not slip at point A? Assume that rate of change of speed is zero. (b) What is the largest constant speed with which the car can be driven on the circle without slipping?
Answer» Answer :(a) `[g^(2) R^(2) (MU^(2) COS^(2) theta - SIN^(2) theta)]^(1//4)` `sqrt(gR(mu"cos"theta - "sin"theta))`