(a) You want to design a circular racetrack of radius R such that cars of mass M can go around the track at speed w without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle  θ  of the track, measured from the horizontal. Your answer should be expressed in terms of M, R, w, and g.   (b) Suppose the racecars actually round the track at a speed v  >  w. What additional radial force is required to keep the cars on the track at this speed? Express your answer in terms of M, R, w, v, and g.

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Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.