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Harmonic Oscillation

  • Thread starter nns91
  • Start date
301
0
1. Homework Statement

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. Homework 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 ?
 

LowlyPion

Homework Helper
3,079
4
1. Homework Statement

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. Homework 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?
 
301
0
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
 

LowlyPion

Homework Helper
3,079
4
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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