In this document, you can read about Friction basics. You will also find derivation of the the below cases:
1. Vehicle revolving around a circular horizontal track
2. Man/Vehicle revolving in a "Well of Death"
3. Vehicle revolving around a circular banked track (ignoring friction)
4. Vehicle revolving around a circular banked track (with friction)
4(a) at a lower speed
4(b) at higher speed
Have a look at this awesome Virtual Lab also : https://www.thephysicsaviary.com/Physics/Programs/Labs/ForcesOnInclineLab/
https://www.thephysicsaviary.com/Physics/Programs/Labs/CircularFrictionTestTrack/
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