A toy car rolls along a curved track as shown below. The track has a tall incline
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Question:
A toy car rolls along a curved track as shown below. The track has a tall incline that gradually slopes downward to a ramp that makes a 40 angle with the horizontal. The car is placed at point A, at the top of the track, and has initial speed vA when it is at point A. It exits the track at point B with speed vB. Assume that the rotational kinetic energy of the car's wheels and energy losses due to friction are both negligible.
i. The car exits the track at point B and reaches the highest point in its trajectory. Will the car's highest height be at a different height than it was at point A? Briefly explain.
ii. Consider the car when it is at the highest point in its trajectory after exiting the track. Determine the speed of the car in terms of vB and θ¸. Briefly explain your answer.
b. Suppose you want the car to exit the track and reach the same trajectory height as point A. You give the car an initial push so that at point A it has a nonzero speed. Determine the speed vA of the car at point A so that the highest point in its trajectory is the same as its height at point A. Express your answer in terms of vB and θ. Explain how you arrived at your answer.
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073398242
11th edition
Authors: Ferdinand Beer, E. Russell Johnston Jr., David Mazurek, Phillip Cornwell, Brian Self
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