Riding a Loop-the-Loop A car in an amusement park ride rolls without friction around the track shown in Fig. 7.32. It 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 failing off at the top (point)?
(b) If h = 3.50RandR = 2O.0m, 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.