Determine the direction of movement of a point on wave

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Homework Help Overview

The discussion revolves around determining the direction of motion of points A and B on a longitudinal wave that is specified to be moving to the right. Participants are exploring the implications of wave motion and the behavior of points within the wave context.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning how to ascertain the direction of movement for points A and B, given the wave's motion. Some express uncertainty about the implications of the wave's direction on the points' movement.

Discussion Status

The discussion is ongoing, with various interpretations being explored. Some participants have offered insights into the relationship between wave density and motion, while others are seeking simpler explanations suitable for a younger audience. There is no explicit consensus on the direction of movement for points A and B.

Contextual Notes

Participants note that the problem is intended for an eighth-grade level, indicating a need for clarity in explanations. There is also mention of a resource link that some participants are unable to access, which may limit their understanding.

songoku
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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.
 
Last edited by a moderator:
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)
 
Last edited by a moderator:
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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