A circular curve of radius R in a new highway is designed

Chapter 5, Problem 93

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A circular curve of radius R in a new highway is designed so that a car traveling at speed can negotiate the turn safely on glare ice (zero friction). If a car travels too slowly, then it will slip toward the center of the circle. If it travels too fast, then it will slip away from the center of the circle. If the coefficient of static friction increases, a car can stay on the road while traveling at any speed within a range from vmjn to t?max. Derive formulas for vmjn and t\nax as functions of and R.

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