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

AI Thread Summary
The discussion revolves around identifying nodes in the superposition of two traveling waves, g(x,t) = Asin(kx-wt) and h(x,t) = Asin(kx+wt+phi). Participants note that the provided figure does not display nodes or antinodes because it does not plot the combined function g+h. To determine the locations of nodes, one must find points where g+h equals zero. The conversation suggests that the original question may be part of a multiple-choice format, prompting further clarification on the question and possible answers. Understanding the conditions for nodes is crucial for solving the problem effectively.
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
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Where in the figure are there nodes at t1?
Please post your working.
 
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:
View attachment 316088
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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