Phasor analysis of transverse wave on a string

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Discussion Overview

The discussion revolves around the application of phasor analysis to transverse waves on a string, particularly in relation to simple harmonic motion (SHM). Participants explore the connections between physical properties such as Young's modulus, tension, angular frequency, and frequency, and how these can be represented in a phasor framework. The conversation also touches on the applicability of this analysis to standing waves on a string.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions whether phasor analysis for SHM can be applied to transverse waves on a string, suggesting that fixing a position allows for an isolated SHM analysis.
  • Another participant asserts that while the motion is oscillatory, it may not be classified as simple harmonic motion.
  • A different participant expresses confidence that the motion will indeed be simple harmonic under ideal conditions, indicating a potential for phasor analysis.
  • There is a suggestion that there may be a possibility of relating the discussed physical properties to phasors.

Areas of Agreement / Disagreement

Participants express differing views on whether the motion of transverse waves can be considered simple harmonic. There is no consensus on the applicability of phasor analysis to this context, and multiple competing views remain regarding the nature of the motion.

Contextual Notes

Participants have not fully resolved the definitions of simple harmonic motion in the context of transverse waves, nor have they clarified the assumptions underlying their arguments about phasor analysis.

ashtadmir
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The way we have a phasor analysis for a point mass executing un-damped simple SHM, is there something like that for transverse waves on a string.
According to me if we fix the position then we can focus on the isolated SHM at that particular position. Is there any way in which I can relate the young's modulus of elasticity, the tension, angular frequency as well as frequency of the whole wave to a phasor?
Can the same be done for a standing wave on a string?

PS. please explain in detail.
 
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it wou
ashtadmir said:
The way we have a phasor analysis for a point mass executing un-damped simple SHM, is there something like that for transverse waves on a string.
According to me if we fix the position then we can focus on the isolated SHM at that particular position. Is there any way in which I can relate the young's modulus of elasticity, the tension, angular frequency as well as frequency of the whole wave to a phasor?
Can the same be done for a standing wave on a string?

PS. please explain in detail.

he motion although would b oscillatory, wouldn't be simple harmonic.

Aceix.
 
Aceix said:
it wou

he motion although would b oscillatory, wouldn't be simple harmonic.

Aceix.
I am absolutely sure that the motion will be simple harmonic (assuming the ideal conditions)
 
ashtadmir said:
I am absolutely sure that the motion will be simple harmonic (assuming the ideal conditions)

thinking of it, there is a possibility.
 

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