Determine the direction of movement of a point on wave

AI Thread Summary
The discussion focuses on determining the direction of movement for points A and B on a longitudinal wave moving to the right. It highlights that without explicit direction, the wave could be interpreted in multiple ways, including as a standing wave. The user is confused about how to ascertain the movement of points A and B, despite the wave's rightward motion being specified. They suggest that point A corresponds to compression and may move left, while point B, in rarefaction, could move right, although this is speculative. The conversation emphasizes the need for a clearer explanation suitable for an eighth-grade understanding of wave dynamics.
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Homework Statement


1-3.jpg


The figure shows a longitudinal wave moving to the right. Indicate the direction of motion of the points A and B


Homework Equations





The Attempt at a Solution


How to determine the direction; either to the left or right?

Thanks
 
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If not told the direction the wave was traveling the sketch could be three things, a longitudinal wave traveling to the left or traveling to the right, and also a standing longitudinal wave.
 
Spinnor said:
If not told the direction the wave was traveling the sketch could be three things, a longitudinal wave traveling to the left or traveling to the right, and also a standing longitudinal wave.

It is given in the question, the wave is moving to the right. However, I still don't know how to determine the direction of movement of the points :-p
 
Let the density of your wave material be,

ρ = 1 + Δcos(x - t) where Δ << 1

dρ/dt = - dJ/dx --> J = Δcos(x - t) ?

Where the density peaks the velocity peaks in the forward direction and where the density is minimum the velocity peaks in the backwards direction, see,

http://lifgarbagez.ucdavis.edu/~dmartin/phy7/7C/java/longitudinal.html

Make the wave go to the right and slow it down.
 
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Spinnor said:
Let the density of your wave material be,

ρ = 1 + Δcos(x - t) where Δ << 1

dρ/dt = - dJ/dx --> J = Δcos(x - t) ?

Where the density peaks the velocity peaks in the forward direction and where the density is minimum the velocity peaks in the backwards direction, see,

http://lifgarbagez.ucdavis.edu/~dmartin/phy7/7C/java/longitudinal.html

Make the wave go to the right and slow it down.

Sorry I haven't covered about the density of wave material and I don't have the plugin to open the link given; I'll try to install it later.

Is there any easier way to explain point A moves either to the left or right? Because this is actually lesson for eight grade (second year of middle school)
 
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My best guess is that A and B is compression and it will turn to rarefaction so A will move to the left and B to the right...but that's just pure guess :biggrin:
 
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