Displacement of a point on a progressive wave

Click For Summary
SUMMARY

The discussion centers on the displacement of a point on a progressive wave, specifically addressing the confusion surrounding the sign of displacement in wave functions. The wave function provided is ## \Psi(x,k) = A\sin(\omega{t} - kx) ##, which describes a wave traveling in the positive x-direction. The participant initially stated that the displacement Y would be negative before returning to equilibrium, but later recognized that Y's displacement is positive due to the wave's direction of travel.

PREREQUISITES
  • Understanding of wave functions and their mathematical representation
  • Familiarity with sinusoidal functions and their properties
  • Knowledge of progressive waves and their characteristics
  • Basic grasp of equilibrium positions in wave motion
NEXT STEPS
  • Study the properties of sinusoidal wave functions in detail
  • Learn about the physical interpretation of wave displacement
  • Explore the concept of wave direction and its impact on displacement
  • Investigate the relationship between wave frequency, wavelength, and speed
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators seeking to clarify wave displacement concepts.

jack edison
Messages
7
Reaction score
0

Homework Statement


upload_2015-5-30_14-44-32.png

upload_2015-5-30_14-44-53.png


Homework Equations

The Attempt at a Solution


I wrote that Y will have a negative displacement, before returning to equilibrium. Why is Y's displacement positive instead?
 
Physics news on Phys.org
This wave traveling to "+" or right direction so the wave function is: ## \Psi(x,k) = A\sin(\omega{t} - kx) ##.
Simpler, imagine the wave curve traveling to the right.
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 9 ·
Replies
9
Views
7K
Replies
2
Views
1K
  • · Replies 90 ·
4
Replies
90
Views
7K
  • · Replies 1 ·
Replies
1
Views
4K