Does plucking one point on the string really can cause standing wave?

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Discussion Overview

The discussion revolves around the effects of plucking a string at different points and its implications for standing wave formation. Participants explore the relationship between traveling waves and standing waves, particularly focusing on the behavior of waves when plucked at the center versus other points along the string.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant explains that plucking the string at the center generates two traveling waves that move in opposite directions, leading to a standing wave pattern, but questions the symmetry of this pattern compared to typical standing waves.
  • Another participant challenges the initial diagrams, suggesting that the center point of the string does move over time, which is not reflected in the diagrams presented.
  • A participant mentions that when plucking a point on the string, multiple harmonics are involved, and the phase relationship between traveling waves affects the resulting standing wave pattern.
  • Some participants note that the combination of harmonics can lead to different standing wave patterns, with variations in nodes and antinodes depending on the phase of the waves.
  • One participant shares links to animations that illustrate the behavior of standing waves and traveling waves, emphasizing the differences in node and antinode formation based on phase relationships.

Areas of Agreement / Disagreement

Participants express differing views on the behavior of the string when plucked, particularly regarding the movement of the center point and the implications for standing wave patterns. The discussion remains unresolved, with multiple competing perspectives on the effects of plucking at different points.

Contextual Notes

Participants highlight that the behavior of the string may depend on the specific time points chosen for analysis, and there are unresolved questions about the transition between standing and traveling waves in different sections of the string.

Jackson Lee
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I was teaching myself standing wave's chapter. It is said in the book that when plucking in the center of the string, it will cause two traveling waves of different directions, one left, one right. Then both of them will reach ends of string and invert back. Before they encounter at the center, they will form standing waves at left part and right part. However, if we combine them into a complete image, it is different from normal standing wave pattern. What's more, it seems that the problem will continue because it is just like a cycle, the left part and right part always appear to be symmetrical instead like normal standing wave. (I have attached a detailed process from 0-2T.) Anyone could help me?
 

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In your diagrams, because the center point where you pluck the string doesn't seem to move. If you try the experiment with a real string, or an elastic band, that isn't correct.

This is an animation of a string that you can "pluck" at any point along the length by clicking the mouse.
http://www.falstad.com/loadedstring/
 
AlephZero said:
In your diagrams, because the center point where you pluck the string doesn't seem to move. If you try the experiment with a real string, or an elastic band, that isn't correct.

This is an animation of a string that you can "pluck" at any point along the length by clicking the mouse.
http://www.falstad.com/loadedstring/

The center point remaining constant is because I only chose some specific time point, such as T/2,T,3T/2 and 2T. At that time, the center point has returned to zero, however it has moved within these points(or there won't be any traveling waves). In addition to this, when plucking one point on the string, there are many harmonics, I selected fourth harmonics as an example. If I chose the fundamental frequency, it will wiggle up and down as the string in animation. But the problem is at phase, if we try to wiggle one point, two traveling waves must be out of phase. Therefore, two corresponding reflected waves will be out of phase too. I think this lead to strange effect compared with normal standing wave pattern
 
This looks very interesting.. just take a look.. maybe what u have been thikning about

Its a combination of a lot of harmonics together..
 
Last edited by a moderator:
maheshshenoy said:
This looks very interesting.. just take a look.. maybe what u have been thikning about




Its a combination of a lot of harmonics together..

I have seen that animation, it is fantastic. Thanks. But I don't know its relation with my question. I found another animation here.
http://www.acs.psu.edu/drussell/Demos/SWR/SWR.html.
Pay you attention to the two standing waves. The first one is formed by two waves out of phase. The second one is formed by two in phase. And we can find the nodes and antinodes of these two are different. It is that what I want to say, after the two reflected waves encounter at the center point, it seems that antinodes and nodes of standing waves might change.
http://www.youtube.com/watch?v=INqfM1kdfUc&list=PLE35BD0AB93E47FB6
What's more, I noticed that it is only part of string have standing wave pattern, and the rest of them are traveling wave. And some of them could transfer between standing wave and traveling wave. I feel really shocked by these.
 
Last edited by a moderator:

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