The car in an amusement park ride rolls without friction around the track as shown below. The car starts from the rest at point A at e 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 = 4 R and R= 16 m, compute the speed, radial acceleration and tangential acceleration of the passengers when the car at point C? (c) Assume that there is a friction in the track so that track does not apply any normal force at point B, What is this work done by the force of friction?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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The car in an amusement park ride rolls without friction around the track as
shown below. The car starts from the rest at point A at e 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 = 4 R and R= 16 m, compute the speed, radial acceleration and tangential acceleration of the passengers when the car at point C? (c) Assume that there is a friction in the track so that track does not apply any normal force at point B, What is this work done by the force of friction?

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