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

Click For 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
Messages
7
Reaction score
0
Homework Statement
E. At particular values of t when troughs in one wave align with troughs in the other
Relevant Equations
N/A
%
 
Last edited:
Physics news on Phys.org
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:
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?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
12K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
12
Views
4K
  • · Replies 10 ·
Replies
10
Views
8K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
27
Views
3K
  • · Replies 2 ·
Replies
2
Views
12K