SHM: Phase Changes & Peter G.'s Experience

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Peter G. seeks clarification on phase differences in simple harmonic motion (SHM) diagrams, particularly regarding the concept of being "ahead" or "behind" in phase. The discussion confirms that the diagrams drawn are mostly correct, but emphasizes that a phase difference of pi/4 indicates one wave starts an eighth of a cycle later than the other. Participants suggest visual aids to better understand the phase relationships, noting that at t = 0, the first diagram reaches its peak while the last diagram is still progressing. The conversation highlights the complexity of interpreting phase differences in SHM. Overall, the exchange aims to clarify these concepts through collaborative discussion and visual representation.
Peter G.
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Hi,

As part of my SHM lessons, I got this sheet today to study Phase Difference. I tried drawing what was asked and I have the impression I got the first two graphs correct. However, I am in doubt regarding the third, mostly I guess, with differentiating what is meant by ahead and behind :confused:

Thanks,
Peter G.

(The drawings are really sketches until I understand their shapes properly)
 

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Peter G. said:
However, I am in doubt regarding the third, mostly I guess, with differentiating what is meant by ahead and behind :confused:
Ahead and behind don't distinguish much when the phase difference is pi.

But your diagrams look OK.
 
For the last one, I should really start then showing the curve at the top, correct?
 
Peter G. said:
For the last one, I should really start then showing the curve at the top, correct?
I don't understand what you mean. I thought that last one was for something pi/4 behind the top diagram?
 
Yeah, that's what it asks for. So that means it starts like, an eighth of a cycle later? Do you think you could maybe draw a rough diagram on something like paint? I have a hard time conveying this kind of stuff in words :redface:
 
Peter G. said:
Yeah, that's what it asks for. So that means it starts like, an eighth of a cycle later?
The diagram would look pretty much like what you drew. It starts an eighth of a cycle 'before' the first diagram. Interpret that like this: At t = 0 the top diagram is already at the peak, while the last diagram takes an eighth of a cycle before it gets to the peak. It's behind the other.
 
Ah ok, it's what I thought initially. Thanks a lot for your patience. :smile:
 
My pleasure. It's tricky stuff.

Check out the diagrams on this page; they may help. (The topic is not SHM, but the principle is the same.) http://www.allaboutcircuits.com/vol_2/chpt_1/5.html"
 
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