Problem # p052

F=m a ; path-normal coordinates

A train travels at constant speed vo=20m/s along a straight track before entering a transition piece to a circular track. The transition piece is described by the equation :

y = b * (x/xo)³     with xo=40m b=10m

Determine the tangential and normal force on a person of m=75 kg sitting inside the train when the train is

  1. at point A : x=y=0
  2. at point B : x=x0, y=b