Epsilon in Simple Harmonic Oscillators

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Homework Help Overview

The discussion revolves around the role of epsilon in simple harmonic oscillators (SHO) and its relation to the formulas governing SHOs. Participants are exploring the implications of epsilon in the context of oscillatory motion.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the significance of epsilon in the context of SHOs, with some referencing specific formulas like x=Acos(wt) and questioning how epsilon fits into this framework. Others are suggesting that epsilon may relate to perturbation effects or phase shifts.

Discussion Status

The discussion is ongoing, with various interpretations being explored. Some participants are questioning the nature of epsilon and its application, while others are suggesting different contexts in which it might be relevant, such as non-linear effects or phase shifts.

Contextual Notes

There appears to be some ambiguity regarding the specific problem being addressed, as well as the definitions and assumptions related to epsilon in this context. Participants are navigating these uncertainties without a clear consensus.

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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