We consider an automobile of mass m traveling along a curved but level road. To avoid skidding,
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We consider an automobile of mass m traveling along a curved but level road. To avoid skidding, the road must supply a frictional force F = ma, where a is the car’s acceleration vector. The maximum magnitude of the frictional force is μmg, where μ is the coefficient of friction and g = 9.8 m/s2. Let v be the car’s speed in meters per second.
Beginning at rest, an automobile drives around a circular track of radius R = 300 m, accelerating at a rate of 0.3 m/s2. After how many seconds will the car begin to skid if the coefficient of friction is μ = 0.6?
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