Wave function at origin on transverse wave

Click For Summary

Homework Help Overview

The discussion revolves around interpreting the wave function of a transverse wave described by the equation y(x,t)=Acos(10∏t+5x) at the origin, specifically focusing on the conditions of x and t.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore different interpretations of "at the origin," considering whether it refers to both x=0 and t=0 or just x=0 with t varying.

Discussion Status

Several interpretations of the problem have been presented, with some participants suggesting that the wave function should be evaluated at x=0 while allowing t to vary. A participant mentions consulting a teacher, indicating a potential resolution but without explicit consensus on the interpretation.

Contextual Notes

There is ambiguity regarding the definition of "at the origin," which affects how participants approach the problem. The original poster's understanding of the question is questioned, and various interpretations are being discussed.

Saxby
Messages
45
Reaction score
0

Homework Statement


You have the simple harmonic equation for a transverse wave which is y(x,t)=Acos(10∏t+5x), what is the wave function at the origin

The Attempt at a Solution


By "at the origin" does it mean where x=0 and t=0. Because it that case y=Acos0 and therefore y=A. Is that right?
 
Physics news on Phys.org
I would interpret it to mean to let x = 0 and let t vary, but your interpretation may also be what was meant.
 
I am sure the question wants you take it as when x = 0 and t various
so y(0,t)=Acos(10∏t) = wave function at origin.
 
Thanks guys, I talked to my teacher and i can safely conclude the answer is y(0,t)=Acos(10∏t)
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 13 ·
Replies
13
Views
9K