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Damped Harmonic Motion

  1. Mar 16, 2007 #1
    Hey guys, using my knowledge of y=(e^ax) sin bx and y=(e^ax) cos bx, I need to find an example where these functions could be used as a model. I was thinking about damped harmonic motion but had a tough time trying to find an example and how i could relate it to those two graphs, any ideas?
     
  2. jcsd
  3. Mar 16, 2007 #2
    The example can be a simple pendulum. But "y" cannot be the two things simultaneously. It is sin or cos or more general: cos(bx+phi)
     
  4. Mar 16, 2007 #3
    Would i be able to use a mass on the end of a spring? what would the graph look like if so?
     
  5. Mar 16, 2007 #4
    Damped motion on a spring, voltage across an RC oscillator, an electromagnetic plane wave propagating through a lossy (or gain) medium, the tail of the wavefunction of a particle in a finite well: the list goes on and on and on.
     
  6. Mar 16, 2007 #5
    Could i please have a quick explanation of the damped motion on a spring, and will the graph have a formula something like y=(Ae^-ax) cox (bx+pi)
     
  7. Mar 16, 2007 #6
    Try wikipedia
     
  8. Mar 16, 2007 #7

    rbj

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    you'ld need a "dashpot" for there to be any damping.
     
  9. Mar 16, 2007 #8

    Pyrrhus

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    Look for the underdampening case in damped harmonic motion.
     
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