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Finding driving frequency.

  1. Mar 18, 2010 #1
    1. The problem statement, all variables and given/known data

    A harmonic oscillator is driven at its natural frequency by an outside force. If the spring constant is 187.5 N/m and the oscillator's mass is 26.1 kg, what is the driving frequency? The damping constant is 15.2 kg/s.


    2. Relevant equations

    w=omega=driving frequency
    m(d^2x/dt^2)= -kx -b(dx/dt) + Fcos(wt)

    x=Acos(wt+psi)

    A= F/(m((wd^2-wo^2)^2 + (b^2)(wd^2/m^2))^.5

    3. The attempt at a solution
    We are given three of the necessary factors for the first equation but not x so i'm not sure if I can use it. I considered using the formula for Amplitude so that A=v/w. I also know that w=(k/m)^.5. However don't have force.
    I don't have a great understanding of driven oscillations, (my book has all of 2 paragraphs on it) so any information is helpful. thanks
     
  2. jcsd
  3. Mar 18, 2010 #2
    Unless you have a follow up question you don't need to know the damping constant. The natural frequency is defined as sqrt(k/m). Easy as that.
     
  4. Mar 18, 2010 #3
    Omy god. Thanks so much, I guess i got wrapped up in using the formula to calculate something.
     
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