Phase of particles on a stationary wave

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SUMMARY

In a stationary wave, particles on either side of a node are indeed 180 degrees out of phase with each other. This conclusion is based on the behavior of particles within a node, which vibrate in one phase while the string inverts across the node, resulting in a phase change of 180 degrees. The discussion confirms that points X and Y, located on opposite sides of a node, exhibit this phase relationship.

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  • Basic principles of harmonic motion
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Are the particles on either side of a node 180 out of phase?
Let's say there's a stationary wave, and X and Y are two points on either side of a node, moving in opposite directions. Are X and Y 180 degrees out of phase with each other?


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Yes particles within a node vibrate in one phase (only their amplitude is changing with x) and across a node the string inverts (a phase change of 180 degrees) so I should think yes.
 

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