The Typical diagram of a standing wave

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Discussion Overview

The discussion revolves around the representation of standing waves through diagrams, specifically focusing on how these diagrams depict the same wave at different points in its vibrational cycle. Participants explore the concept of phase in relation to the visual representation of standing waves.

Discussion Character

  • Conceptual clarification, Technical explanation

Main Points Raised

  • Some participants note that the diagram shows the same wave at two different times, illustrating the concept of antinodes and their displacement.
  • One participant proposes that the top wave is half a cycle out of phase with the bottom wave, suggesting that they are essentially the same wave represented differently.
  • Another participant expresses confusion initially but later indicates understanding after further discussion.

Areas of Agreement / Disagreement

The discussion reflects initial confusion among some participants regarding the diagram, but there is a shift towards understanding, particularly with one participant affirming their comprehension. However, the overall agreement on the interpretation of the phase relationship remains implicit rather than explicitly stated.

Contextual Notes

Participants do not fully explore the implications of phase differences or the mathematical representation of standing waves, leaving some assumptions unaddressed.

Misr
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[quote name = "Physicsclassroom.com]

Because antinodes are vibrating back and forth between a large positive and large negative displacement, a diagram of a standing wave is sometimes depicted by drawing the shape of the medium at an instant in time and at an instant one-half vibrational cycle later. This is done in the diagram below.

u10l4c5.gif

This isn't clear for me :(
 
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Misr said:
This isn't clear for me :(

They're showing you the same wave at 2 different times.
 
I THINK the top wave (the one that starts on the left and goes upwards first) is half a cycle out of phase with the bottom wave.(starts on left and goes down first) If we remove the bottom wave completely, and slide the whole wave left until the point that the top wave hits the middle line on the way down is on the left side, then now the wave looks just like the bottom wave. The top and bottom wave are both the same wave, just drawn out of phase and together.
 
Yeah,I got it now
Thanks
 

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