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Statement of a problem № 3193

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A car travels around a horizontal bend of radius R at constant speed V . (i) If the road surface has a coefficient of friction ns , what is the maximum speed, Vmax , at which the car can travel without sliding? (ii) Given ns = 0.85 and R = 150 m, what is Vmax ? (iii) What is the magnitude and direction of the car's acceleration at this speed? (iv) If ns = 0, at what angle would the bend need to be banked in order for the car to still be able to round it at the same maximum speed found in part (ii)?

Solution:
A car travels around a horizontal bend of radius R at constant speed V . (i)  If

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