Banked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute uniform circular motion and safely negotiate the curve. A car rounds a banked curve with banking angle ? = 23.2° and radius of curvature 168 m. (a) If the coefficient of static friction between the car's tires and the road is ?s = 0.393, what is the range of speeds for which the car can safely negotiate the turn without slipping? vlow=?  m/s. vhigh= ? m/s  b)What is the minimum value of ?s for which the car's minimum safe speed is zero? Note that friction points up the incline here.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 59P: A single bead can slide with negligible friction on a stiff wire that has been bent into a circular...
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Banked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute uniform circular motion and safely negotiate the curve. A car rounds a banked curve with banking angle ? = 23.2° and radius of curvature 168 m.

(a) If the coefficient of static friction between the car's tires and the road is ?s = 0.393, what is the range of speeds for which the car can safely negotiate the turn without slipping? vlow=?  m/s. vhigh= ? m/s 

b)What is the minimum value of ?s for which the car's minimum safe speed is zero? Note that friction points up the incline here. 

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