Damped Harmonic Motion: Find Speed at Equilibrium

aks_sky
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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 haven't tried anything because i don't know where to start.

thank you
 
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How do you get velocity from position?

What does "equilibrium" mean?
 
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?
 
aks_sky said:
Am i differentiating The function given to find the velocity at any time?

Yes, that is what you should do.
 
sweet.. thank you
 
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