Question

On a banked race track, the smallest circular path on which cars can move has a radius of 113 m, while the largest has a radius of 164 m, as the drawing illustrates. The height of the outer wall is 17.4 m. Find (a) the smallest and (b) the largest speed at which cars can move on this track without relying on friction.

Answer 1

sum of forces vertical = 0 = mg - Ncos@

sum of forces horizontal = mv^2/r = Nsin@