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A car is travelling at a flat circular track of radius 25 m and tries to...

A car is travelling at a flat circular track of radius 25 m and tries to go around at 40 m/sec. a) What should the coefficient of static friction be so the car won’t skid? b) Assume the same car is now travelling at a banked circular track at angle 25o , r=25 m and with same speed. What’s the value of the coefficient of static friction in order for the car not to slide down? c) What would the allowable max speed vmax be if now we assume zero friction at the banked curve?

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In this case necessary centripetal force of the car will be provided by force of friction acting towards center  

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