Hi!
The damped oscillator equation is as follows:
x(t)= A exp(γt/2) cos(ωt)
where ω= √( (w0)^2 + (γ^2)/4 )
I have attached a graph of a damped oscillator.
The question is if I use graph to measure angular frequency, will it be w0 or ω?
It should be w0 because if I put γ=0, I should be getting the normal undamped system. The enveloped curve would disappear since exp(γt/2) is 1. BUT then where is ω on the graph!!!! :grumpy:
The damped oscillator equation is as follows:
x(t)= A exp(γt/2) cos(ωt)
where ω= √( (w0)^2 + (γ^2)/4 )
I have attached a graph of a damped oscillator.
The question is if I use graph to measure angular frequency, will it be w0 or ω?
It should be w0 because if I put γ=0, I should be getting the normal undamped system. The enveloped curve would disappear since exp(γt/2) is 1. BUT then where is ω on the graph!!!! :grumpy: