I was recently brushing up on my dynamics, when I saw the interpretation of how a car moves in a circular road. Apparently, the car can stay in a circle due to static friction acting inwards. But I don't seem to understand exactly why this force exists and where it originates. What kind of motion causes it to exist?
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Moving in a circle is just a special case of turning the car, so you just have to explain how the friction of the tyres can turn the car. This is explained in my answer to Direction of friction when a car turns – John Rennie Aug 09 '14 at 10:29