Epsilon in Simple Harmonic Oscillators

AI Thread Summary
Epsilon serves as a perturbation parameter in the context of simple harmonic oscillators (SHOs), often indicating non-linear effects. The standard formula for SHO is x = A cos(wt), but epsilon can modify this equation to account for phase shifts or other perturbations. Discussions suggest that epsilon may relate to phase changes, represented as x = A sin(wt + ε). The conversation also touches on the broader implications of epsilon in various physical systems, such as the simple pendulum and gravity-driven wave-trains. Understanding the role of epsilon is crucial for analyzing deviations from ideal harmonic motion.
mikeyman2010
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Can anyone tell me what role epsilon play in a simple harmonic oscillator, and what the formula is relating epsilon to SHO?
 
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Whatever are you talking about?
Perturbation series??
 
No, i remember there's this formula for SHO x=Acos(wt), but i know that epsilon can be added into this formula, but can't figure out what.
 
You are probably thinking of a non-linear second order effect.
This can happen in a variety of problems (for example, the simple pendulum, or gravity-driven wave-trains).
"epsilon" is a common symbol used as a perturbation parameter; since I don't know what problem you're thinking of, I can't help you further.
 
Or, are you simply think of the PHASE?
That is, x=Asin(wt+e)??
 

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