Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to archive higher speed around the turns. Assume friction is not present. A) Find the y- component of the normal force FN on a car going around the turn in terms of the angle  θ  and the magnitude of the normal vector FN B) Find the x- component of the normal force FN on a car going around the turn in terms of angle  θ  the magnitude of the normal vector FN C) Write an expression for tan( θ ) of a car going around the banked turn in terms of the car's speed v, radius of the turn r and g so that the car's will no move up or down the incline of the turn

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to archive higher speed around the turns. Assume friction is not present.

A) Find the y- component of the normal force FN on a car going around the turn in terms of the angle  θ  and the magnitude of the normal vector FN

B) Find the x- component of the normal force FN on a car going around the turn in terms of angle  θ  the magnitude of the normal vector FN

C) Write an expression for tan( θ ) of a car going around the banked turn in terms of the car's speed v, radius of the turn r and g so that the car's will no move up or down the incline of the turn

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