Transverse waves oscillation direction

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SUMMARY

A transverse wave propagating along the x-axis causes particles to oscillate in the yz plane, which is perpendicular to the direction of wave propagation. While the particles may have velocity components in both the y and z directions, their oscillation is confined to the yz plane. This distinction clarifies that particles do not oscillate in the xy or xz planes, but rather maintain their motion strictly parallel to the yz plane.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with transverse wave properties
  • Basic knowledge of coordinate systems (xy, xz, yz planes)
  • Concept of particle oscillation in wave motion
NEXT STEPS
  • Study the properties of longitudinal waves and their particle motion
  • Explore wave equations and their applications in different media
  • Learn about the mathematical representation of wave functions
  • Investigate the effects of wave interference on particle motion
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Students studying physics, educators teaching wave mechanics, and anyone interested in understanding the behavior of particles in transverse waves.

jonny23
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Homework Statement


A transverse wave travels along x-axis . what is direction of oscillation of particles ?

Homework Equations

The Attempt at a Solution


I think the answer is xy plane but Wikipedia says its yz plane . Please explain how?
 
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Particles that are a part of a transverse wave oscillate perpendicular to the propagation of the wave. So, if the wave moves along the x-axis, then the particles must move in the yz plane and mustn't move in any direction parallel to the x-axis.
 
the particle move perpendicular to x-axis but arent they in xy plane
images.jpg
 
The particles themselves are in the xy plane, but look at the arrows. The velocity of any given particle is 100% perpendicular to the x-axis. The particles may move in the y direction; they may move in the z direction. Heck, they may even have velocity components in the y direction and in the z direction. It doesn't matter. Knowing the fact that the transverse wave propagates along the x-axis, it is safe to say that the particles are oscillating in any arbitrary orientation in the yz plane. We cannot say that they are doing the same in the xy plane or in the xz plane.
 
so are they parallel to yz plane or on the yz plane
 
The particles oscillate parallel to the yz plane.
 
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