Harmonic Oscillation

  1. 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 ?
     
  2. jcsd
  3. LowlyPion

    LowlyPion 5,338
    Homework Helper

    What is the displacement for π/2 and each subsequent π/2 interval? How many π/2 intervals in a revolution?
     
  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
     
  5. LowlyPion

    LowlyPion 5,338
    Homework Helper

    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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