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Unformatted text preview: Physics 125 Discussion #8 Solution 1 Problem 1: Rounding a Flat Curve A BMW Z4 roadster is rounding a flat, unbanked curve with radius R . The coefficient of friction between the tires and road is μ s . (1) Define your coordinate system and draw the free-body diagram for the car. (Hint: the +x-direction is toward the center of the car’s circular path.) (2) If the car’s speed is v , what is the acceleration toward the center of the circular path, a rad ? R v a rad 2 = (3) What is the car’s vertical acceleration? (4) What is the force that keeps the car moving in its circular path? Does this force increase or decrease with the car’s speed? Friction force is the force that keeps the car moving in its circular path. It increases with the car’s speed. Physics 125 Discussion #8 Solution 2 (5) Write out Newton’s second law for the x- and y- directions. R v m ma f F rad x 2 = = = ∑ =- = ∑ mg F F N y (6) What is the maximum force that keeps the car moving in its circular path at the maximum speed v max ? Express your answer in terms of m , g, and μ s , where m is the car’s mass....
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