Omega0=2*delta - Understanding Resonance Phenomenon

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The discussion centers on the condition omega0=2*delta in relation to resonance phenomena in oscillators. It is clarified that omega0 represents the angular frequency at which resonance occurs, while w0 denotes the natural frequency of the system. The resonance frequency is defined by the equation wr^2 = w0^2 - 2delta^2. There is some initial uncertainty regarding the implications of the condition on resonance, with one participant suggesting that it may indicate a lack of resonance. Ultimately, the conversation aims to clarify the relationship between these frequencies in the context of oscillatory systems.
JohnGreen
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Hello

I found a problem that I'm not sure how to solve.

A maintained oscillator satisfies the condition omega0=2*delta.
Does anyone know what is the physical significance of this condition for the resonance phenomena?

My guess is that there is no resonance, but that seems a little weird.
Thanks
 
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Hello John,
Isn't omegao just a symbol for the angular frequency for which resonance occurs in that particular problem?
 


Forget about my guess.
w0 is the natural frequency
The resonance frequency is wr^2 = w0^2 - 2delta^2
 

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