Question

A curve of radius 30 m is banked so that a 950-kg car traveling at 25 miles per hour can round it even if the road is so icy that the coefficient of static friction is approximately zero. You are commissioned to tell the local police the range of speeds at which a car can travel around this curve without skidding. Neglect the effects of air drag and rolling friction. If the coefficient of static friction between the snowy road and the tires is 0.300, what is the range of speeds you tell them? a) Under icy (frictionless) conditions, what is the banking angle of the curve? No free-body diagram, no credit! b) Now with friction: Draw 2 free body diagrams for the minimum and maximum speeds. Be sure to choose a “smart” orientation for the coordinate axes. c) What are the minimum and maximum safe speeds for the value of friction given for the curve?

Answer 1