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Problem: Circular turns of radius r in a race track are often banked at an angle to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified.Find y component of the normal force FN of a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN?

FREE Expert Solution

Consider the free-body diagram below:

From the free-body diagram, the y component of the normal force, FN is:

FN,y = FNcosθ

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Problem Details

Circular turns of radius r in a race track are often banked at an angle to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified.

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

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Banked Curves concept. You can view video lessons to learn Banked Curves. Or if you need more Banked Curves practice, you can also practice Banked Curves practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Aragon's class at CNM.