FYKOS Year 25 Series 3 Problem 3 — train à grande vitesse · FYKOS 25 #25.3.3
Physics · mechanics
Problem
Railway has a shape of an arc of radius R and its width is D. Train's center of mass is at height of H meters. How fast can a train go on this railway if, no matter where it stops, it never falls? Under what conditions is this maximum speed unbounded? Note Neglect forces cars act on each other and also assume the width of a car is much smaller than the radius R.