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

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SUMMARY

The discussion centers on 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 clarify that to identify nodes, one must evaluate the sum of the two waves, g + h, rather than examining them individually. The key conclusion is that nodes occur at points where the combined wave function equals zero, which requires a proper understanding of wave interference principles.

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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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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:
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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