Simple Harmonic Motion Energy Problem

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Homework Help Overview

The discussion revolves around a problem related to simple harmonic motion, specifically focusing on deriving the equilibrium state and exploring the relationship between maximum displacement and energy.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to derive the equilibrium state and connect maximum displacement to energy, while expressing frustration over the second part of the question. Participants question the variable with respect to which the derivative is taken and clarify that maximum displacement is a constant.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the nature of maximum displacement, but no consensus has been reached on how to approach the second part of the question.

Contextual Notes

There is an indication of confusion regarding the relationship between displacement and time, as well as the implications of the problem's requirements on the original poster's understanding.

SirPlus
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Homework Statement



Derive the equilibrium state of a simple harmonic oscillation and show that the derivative of the maximum displacement is s^{'} = 2 \sqrt{E}


Homework Equations



F = -k x


The Attempt at a Solution


m a = -k s
\rightarrow ms^{''} = -k s
\rightarrow s^{''} = -ω s





Homework Statement


I don't know how to obtain the second part of the question, I've tried so many ways and all have failed, PLEASE HELP *IMPORTANT
 
Physics news on Phys.org
The derivative of the maximum displacement with respect to what?
 
With respect to time...
 
The maximum displacement does not depend on time, it is a constant.
 

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