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Curve fitting of a damped harmonic oscillator

  1. Jan 22, 2012 #1
    1. The problem statement, all variables and given/known data

    I was wondering if there was a general method for finding a function that fits a set of data for a damped harmonic oscillator

    I'm currently writing up a presentation on the experiment for the gravitational constant and the way i did the experiment was to use a torsion balance with a mirror at the center that oscillates with small lead balls a distance b from the mirror.

    I managed to calculate the gravitational constant with in .05% of it's given value. Problem is that i think my prof wanted a visual representation of the oscillation. While my method was just to view the end points of the oscillation which is generally all you need as i have acquired such a good value.

    Pictures are usually better than words, so what i have Origin is a pain sorry

    tPQ1E.jpg

    what i'm asking is if i could generate a function to fit this of the form sin(at)e^-bt

    such that

    Step_response_for_two-pole_feedback_amplifier.PNG


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jan 22, 2012 #2
    The formatting of your post went nuts, is the picture really big, can you edit?
     
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