dynamics The figure nearby is from Problem 14-37 in your text book. I want you t

Question

dynamics

The figure nearby is from Problem 14-37 in your text book. I want you to work that problem as the book states, but with the following modification. There was a rollercoaster at the old Elitch's Gardens in Denver called the Wildcat. It ran fast enough over some of its humps that stuff would come out of a person's shirt pocket and float in the air, then drop to the floor of the car in the next trough. Therefore, calculate height hC such that there is a slight upward apparent acceleration of, say, 0.2 m/s2 at point C in the figure. What does it mean, really, that there is an apparent upward acceleration? Refer to the nearby drawing which comes with Problem 14-76 in your textbook. Work the problem exactly as the book describes it.

Explanation / Answer

At that point C we have slight upward acceleration of 0.2 m/s^2

hence mvc^2/r - mg = ma (force equation)

vc^2/20 - 9.8 = 0.2

vc^2 = (20 * 10) => vc = 14.14 m/s

Using energy equations

mg(ha - hc) = 0.5mvc^2

hc = ha - (0.5vc^2/g) , if we know ha then we can calculate hc.

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