Chapter 9, Problem 57PQ

Crall and Whipple design a loop-the-loop track for a small toy car. The car starts at height y_i above the bottom of the loop, goes through the loop of radius R, and then travels along a flat, horizontal track before coming to rest. Rolling friction between the horizontal track and the car is significant, but it is negligible along the rest of the track. Assume Crall and Whipple release the car from the minimum height y_i (found in Problem 56). If the coefficient of rolling friction between the car and the horizontal track is 0.30 and the radius of the loop is 0.45 m, how far does the car travel along the horizontal track from the base of the loop before coming to rest?

FIGURE P9.56 Problems 56 and 57.