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Simple Harmonic Oscillator Equation Solutions

  • Thread starter logan3
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  • #1
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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.
 
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Answers and Replies

  • #2
rude man
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OK. Oh, I need a minimum of 4 characters/
Ok Ok.
 
  • #3
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Sorry, I don't understand your post.
 
  • #4
rude man
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Sorry, I don't understand your post.
I meant to say I agree with you.
 

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