Damped Harmonic Motion: Find Speed at Equilibrium

[aks_sky]

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

 

[George Jones]

How do you get velocity from position?

What does "equilibrium" mean?

 

[aks_sky]

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?

 

[George Jones]

Am i differentiating The function given to find the velocity at any time?

Yes, that is what you should do.

 

[aks_sky]

sweet.. thank you