# Harmonic Oscillation

by nns91
Tags: harmonic, oscillation
 P: 301 1. The problem statement, all variables and given/known data 1. A man's superelastic suspenders catch on a fence post, he flies back and forth, oscillating with an amplitude A. What distance does he movee in one period ? What is his displacement over 1 period 2. Relevant equations x=Acos(wt) 3. The attempt at a solution I know that the displacement is 0 since he returns to the original position. I also know that the distance should be 4A but I don't know how to explain it. It just makes sense to me. How do I prove that distance is 4A ?
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P: 5,341
 Quote by nns91 1. The problem statement, all variables and given/known data 1. A man's superelastic suspenders catch on a fence post, he flies back and forth, oscillating with an amplitude A. What distance does he movee in one period ? What is his displacement over 1 period 2. Relevant equations x=Acos(wt) 3. The attempt at a solution I know that the displacement is 0 since he returns to the original position. I also know that the distance should be 4A but I don't know how to explain it. It just makes sense to me. How do I prove that distance is 4A ?
What is the displacement for π/2 and each subsequent π/2 interval? How many π/2 intervals in a revolution?
 P: 301 What do you mean by n ? If you mean n/2 by the angle then it will move A for each n/2 and there are 4n/2 so it moves 4A
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P: 5,341
Harmonic Oscillation

 Quote by nns91 What do you mean by n ? If you mean n/2 by the angle then it will move A for each n/2 and there are 4n/2 so it moves 4A
The font doesn't show it clearly but π is pi.

The font doesn't show it clearly but π is pi.

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