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75% + H 3. (22 total) Tight curves on a highway are often banked (tilted) to make them safer to drive at high speed, since

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75% + H 3. (22 total) Tight curves on a highway are often banked (tilted) to make them safer to drive at high speed, since tilting the highway surface toward the center of the curve allows the normal force from the road to provide a portion of the centripetal acceleration necessary for a car to follow the curve. Let's take this to the extreme: is it possible to drive on a highway that's banked by 90" (1.e, vertical)? Consider a car on a vertical banked curve, like in the upper extreme of the road shown at right. a. (8 pts) In the space below, draw a free- body diagram for a car that drives without slipping on a vertical banked highway. Clearly define a coordinate system, and label all your forces. Indicate the direction of the acceleration of the car. b. (10 pts) What is the minimum speed a 1500-kg car could drive on a vertical banked highway with a radius of 60 m without slipping? Assume the coefficients of friction between tires and roadway are MK = 0.8 and us = 0.9. Q Search 9

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