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Are these three things DEPENDENT on Amplitude?

  1. Dec 12, 2012 #1
    ScreenShot2012-12-12at90928AM.png

    So if Period is the only thing that isn't dependent on amplitude, then that must mean
    Energy (PE = 1/2 k A2), maximum acceleration, and speed is dependent on amplitude?
     
  2. jcsd
  3. Dec 12, 2012 #2

    ehild

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    Yes. :smile:

    ehild
     
  4. Dec 12, 2012 #3
    If you examine the equations governing simple harmonic motion, you'll notice that all functions have the amplitude as a constant multiplying factor. Since the process of maximization of any of these equations is independent of A (because it's a constant multiple), the relationship between the maximum velocity or acceleration is direct therefore making them dependent on the chosen value of A. Likewise, you can see a parabolic relation exists directly from the potential energy function described in terms of amplitude.
     
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