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Simple Harmonic Oscillator Equation Solutions

  1. Sep 25, 2013 #1
    These are practice problems, not homework. Just wanting to check to see if my process and solutions are correct.

    1. Given the following functions as solutions to a harmonic oscillator equation, find the frequency f correct to two significant figures:

    f(x) = e-3it
    f(x) = e-[itex]\frac{\pi}{2}[/itex]it

    2. Harmonic oscillator equation:
    [itex]\frac{d^{2}y}{dt^{2}} = -ω^{2}y[/itex]

    frequency (f) = [itex]\frac{ω}{2\pi}[/itex]


    3. Since a solution to the harmonic oscillator equation can be in the form of e-iωt, then ω = 3 in the first solution and [itex]\frac{\pi}{2}[/itex] in the second. Plugging both of these into the frequency equations yields:

    f = [itex]\frac{3}{2\pi} = 0.48[/itex] and

    f = [itex]\frac{\frac{\pi}{2}}{2\pi} = 0.25[/itex]

    Thank-you.
     
    Last edited by a moderator: Oct 1, 2014
  2. jcsd
  3. Sep 26, 2013 #2

    rude man

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    OK. Oh, I need a minimum of 4 characters/
    Ok Ok.
     
  4. Sep 26, 2013 #3
    Sorry, I don't understand your post.
     
  5. Sep 26, 2013 #4

    rude man

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    I meant to say I agree with you.
     
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