Banked curves, coefficient of friction problem

AI Thread Summary
To determine the minimum coefficient of static friction required for a car navigating a banked curve at 21.1 m/s, the angle of the bank can be calculated using the formula (v^2)/gr, where v is the speed and r is the radius of the curve. A free-body diagram is essential to analyze the forces acting on the car, ensuring that the resultant forces equal the necessary centripetal force. The discussion emphasizes the importance of understanding the relationship between speed, radius, and friction in maintaining control on a banked curve. Further calculations will involve applying the equations of motion and friction to find the static coefficient needed to prevent slipping. The conversation highlights the need for clarity in solving physics problems related to motion on curved paths.
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Homework Statement



A road with a radius of 74.8 m is banked so that a car can navigate the curve at a speed of 15 m/s without any friction. When a car is going 21.1 m/s on this curve, what minimum coefficient of static friction is needed if the car is to navigate the curve without slipping?

Homework Equations





The Attempt at a Solution



I figured out the angle by doing (v^2)/gr but I don't know how to find the coefficient of static friction. PLEASE HELP!
 
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Draw a free-body diagram. The resultant of all forces has to be equal to the centripetal force. ehild
 

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