Chapter 1: Q-42P (page 231)
A car in an amusement park ride rolls without friction around a track (Fig. P7.42).The car starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle. (a) What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B)? (b) If \(h = 3.50R\) and \(R = 14.0\;{\rm{m}}\), compute the speed, radial acceleration, and tangential acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter. Show these acceleration components in a diagram, approximately to scale.
Short Answer
a) The minimum height of the track in terms of R is .
b) The velocity, tangential and radial acceleration of the passenger in the car are , role="math" localid="1668066792343" and respectively.