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A person rides on a mechanical bucking horse (see Figure)
Chapter 13, Problem 31P(choose chapter or problem)
A person rides on a mechanical bucking horse (see Figure 13–23) that oscillates up and down with simple harmonic motion. The period of the bucking is 0.74 s and the amplitude is slowly increasing. At a certain amplitude the rider must hang on to prevent separating from the mechanical horse. (a) Give a strategy that will allow you to calculate this amplitude. (b) Carry out your strategy and find the desired amplitude.
Questions & Answers
QUESTION:
A person rides on a mechanical bucking horse (see Figure 13–23) that oscillates up and down with simple harmonic motion. The period of the bucking is 0.74 s and the amplitude is slowly increasing. At a certain amplitude the rider must hang on to prevent separating from the mechanical horse. (a) Give a strategy that will allow you to calculate this amplitude. (b) Carry out your strategy and find the desired amplitude.
ANSWER:
Step 1 of 3
Part (a)
The maximum displacement traveled in a periodic motion is the amplitude. A person rides on a mechanical bucking horse and the amplitude is increasing. We are going to give the best strategy that suits the way to calculate the maximum amplitude.
The person reaches the maximum amplitude and falls back to the mean position under the action of gravity. At the maximum displacement, the acceleration of the bucking horse must be the acceleration due to gravity.