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P Riding a Loop-theLoop. A car in an amusement park ride
Chapter 7, Problem 7.46(choose chapter or problem)
P Riding a Loop-theLoop. A car in an amusement park ride rolls without friction around the track shown in Fig. P7.46. 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 falling off at the top (point B)? (b) If and 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.
Questions & Answers
QUESTION:
P Riding a Loop-theLoop. A car in an amusement park ride rolls without friction around the track shown in Fig. P7.46. 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 falling off at the top (point B)? (b) If and 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.
ANSWER:Step 1 of 6
The car in an amusement park ride that rolls without friction around the track shown in figure below. It starts from rest at point A at a height h above the bottom of the loop.
The law of conservation of energy states the total initial energy of the system is equal to the total final energy of the system. That is, the sum of the initial kinetic energy 
