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Damped Harmonic motion

  • Thread starter aks_sky
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  • #1
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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
 

Answers and Replies

  • #2
George Jones
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How do you get velocity from position?

What does "equilibrium" mean?
 
  • #3
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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?
 
  • #4
George Jones
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Science Advisor
Gold Member
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790
Am i differentiating The function given to find the velocity at any time?
Yes, that is what you should do.
 
  • #5
55
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sweet.. thank you
 

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