Two traveling waves g(x,t) = Asin(kx-wt) and h(x,t) = Asin(kx+wt+phi)

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Homework Help Overview

The discussion revolves around the analysis of two traveling waves represented by the equations g(x,t) = Asin(kx-wt) and h(x,t) = Asin(kx+wt+phi). Participants are exploring the characteristics of these waves, particularly focusing on the concept of nodes and their locations over time.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to identify the locations of nodes at a specific time and questioning the absence of nodes in the provided figure. There is also a discussion about the implications of adding the two wave functions and what that means for the presence of nodes.

Discussion Status

The discussion is ongoing, with participants providing insights and clarifications regarding the interpretation of the problem. Some have suggested that the figure does not adequately represent the combined wave, leading to further questions about the nature of the problem statement and its potential relation to a multiple-choice format.

Contextual Notes

There is a mention of the figure not plotting the combined wave function g+h, which is central to the discussion about nodes. Additionally, the nature of the problem statement raises questions about its context, possibly indicating it is part of a larger set of choices.

blueberryRhyme
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Homework Statement
E. At particular values of t when troughs in one wave align with troughs in the other
Relevant Equations
N/A
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Last edited:
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Where in the figure are there nodes at t1?
Please post your working.
 
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Hi haruspex, thank you for yr time to have a look at my question. the Figure doesn’t include nodes/anti nodes.
 
blueberryRhyme said:
Hi haruspex, thank you for yr time to have a look at my question. the Figure doesn’t include nodes/anti nodes.
That's only because the figure doesn't plot g+h. You can easily see where the nodes must be.
 
blueberryRhyme said:
You seem to have completely misunderstood the question.
You have to find a place where g+h is always zero.
 
The "statement" of the problem looks like one of the possible answers to a multiple choice question. If that is true, what is the question and what are the other choices?
 

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