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A car in an amusement park ride rolls without friction around the track shown. It starts from rest at point A (it's location in the picture) 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, which B being the top of the loop)? b) If h = 3.50 R and R = 20.0 m, compute the speed, radial acceleration, and tangential acceleration of the passengers when the car is at point C (labeled), which is at the end of a horizontal diameter of the loop. Show these acceleration components in a diagram, approximately to scale.

A car in an amusement park ride rolls without friction around the track shown. It starts from rest at point A (it's location in the picture) 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, which B being the top of the loop)? b) If h = 3.50 R and R = 20.0 m, compute the speed, radial acceleration, and tangential acceleration of the passengers when the car is at point C (labeled), which is at the end of a horizontal diameter of the loop. Show these acceleration components in a diagram, approximately to scale.

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A car in an amusement park ride rolls without friction around the track shown. It starts from rest at point A (it's location in the picture) 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, which B being the top of the loop)? b) If h = 3.50 R and R = 20.0 m, compute the speed, radial acceleration, and tangential acceleration of the passengers when the car is at point C (labeled), which is at the end of a horizontal diameter of the loop. Show these acceleration components in a diagram, approximately to scale.
Transcribed Image Text:A car in an amusement park ride rolls without friction around the track shown. It starts from rest at point A (it's location in the picture) 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, which B being the top of the loop)? b) If h = 3.50 R and R = 20.0 m, compute the speed, radial acceleration, and tangential acceleration of the passengers when the car is at point C (labeled), which is at the end of a horizontal diameter of the loop. Show these acceleration components in a diagram, approximately to scale.
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