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Problem 14-5: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Engineering Mechanics Dynamics · R.C. Hibbeler · Chapter 14

Course: Engineering Mechanics Dynamics Book: R.C. Hibbeler Chapter: Chapter 14

Question

Question:
A roller coaster car is essentially at rest at the crest of hill A. Determine the required height h so that the car reaches a speed of 100 kilometres per hour at the bottom of hill B. Also determine the minimum radius of curvature rho for the track at B so that passengers do not experience a normal force greater than 4 times m g. Neglect the size of the car and passengers.

Problem 14-5: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

This lesson applies the work–energy principle to find the height needed for a roller coaster car to reach a target speed, then uses Newton's second law in the normal direction at the bottom of a curved track to determine the minimum radius of curvature that keeps the normal force within a specified limit. Both conservation of energy and centripetal acceleration concepts are combined in a single two-part problem.

In this lesson, you will

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