Question

A car merges onto the freeway on a banked curve. The car maintains a constant velocity 푣 while driving on the curve, which is banked at angle theta and has a radius of curvature R. The car has mass m and the coefficient of static friction between the car’s tires and the road is meu(s). What is the maximum and minimum speed that the car can go around the banked curve without slipping? Hint: The car tends to slip up if the car is going too fast or slip down if the car is going too slow. How do the maximum and minimum speeds change with decreasing angle theta? Do you think that banking a curve increases drivers’ safety? c. What is the only speed that the car can go around a banked curve in the absence of friction (i.e. static friction = 0)?

Answer 1