Sunday, March 12, 2017

homework and exercises - Why doesn't centrifugal force appear on an FBD for a car on a banked track?



Suppose you wish to find the max speed at which a car can travel on a banked curve of radius R and angle theta to the horizontal and coeff. of static friction mu.



I don't understand the relevant free body diagram.


We should have $F_g$ downwards, $F_f$ pointing towards the center of the track parallel to the track, and $F_n$ perpindicular to the track. The net force in the direction parallel to the track points towards the center of the track, so the car should accelerate down the track right (towards the center), right? What is keeping the track up - its the centrifugal force, right? But why don't we draw this on the FBD; what is providing the centrifugal force?





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