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Damped Harmonic motion

  1. Apr 23, 2009 #1
    The position x(t) of a mass undergoing damped harmonic motion at an angular frequency ω'
    is described by

    x(t)=A e^t/τ cos(ώt + delta)

    where τ is the time constant, A the initial amplitude and delta an arbitrary phase.


    (a) Find an expression for the speed of the mass as it passes through the equilibrium
    position.

    *Can anyone give me an idea on how to start solving this problem. I havent tried anything because i dont know where to start.

    thank you
     
  2. jcsd
  3. Apr 23, 2009 #2

    George Jones

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    How do you get velocity from position?

    What does "equilibrium" mean?
     
  4. Apr 23, 2009 #3
    Equillibrium is the point where all the forces are equal or the stationary point of any system. And the velocity you can find by using: v(t) = -Aw sin(wt + phi) ?

    edit: Am i differentiating The function given to find the velocity at any time?
     
  5. Apr 23, 2009 #4

    George Jones

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    Yes, that is what you should do.
     
  6. Apr 23, 2009 #5
    sweet.. thank you
     
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