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Derivation of damped frequency

  1. May 22, 2014 #1
    Hiya can anyone show how to derive the euqation of damped frequency for a spring

    ωd = ωnsqrt(1-ζ2)
  2. jcsd
  3. May 22, 2014 #2


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    Staff: Mentor

    What is the differential equation describing the motion?
  4. May 22, 2014 #3


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    Google will find lots of web sites with the derivation.

    As NascentOxygen said, you write down the differential equation for simple harmonic motion with damping, and solve it. There are no "clever tricks" required.
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