Find the displacement from the equilibrium position

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Homework Help Overview

The discussion revolves around finding the displacement from the equilibrium position of a particle related to wave motion, specifically at a given distance from the wave source and at a specific moment in time. The subject area includes wave mechanics and the properties of traveling waves.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply a wave equation to determine displacement but questions whether their calculation is correct. Some participants suggest using the full traveling wave equation, which incorporates both time and distance, while others express uncertainty about the equation's components.

Discussion Status

Participants are exploring different interpretations of the wave equation and discussing its relevance to the problem. Some guidance has been offered regarding the need to consider both time and distance in the wave equation, but there is no explicit consensus on the correct approach or solution.

Contextual Notes

There is mention of constraints regarding the participants' current knowledge of wave equations, with some indicating they have not yet learned about the full traveling wave equation. This suggests a gap in understanding that may affect their ability to solve the problem.

zade70
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Homework Statement


Find the displacement from the equilibrium position of the particle that is in the distance x=£/12 from the wave source, for the moment t=T/4. The amplitude of the wave is A=0.2 m

Homework Equations


x=A*cos(wt)=A*cos2*pi/T* t

The Attempt at a Solution


x=£/12
£/12=0.02*cos2*3.14/T *T/4
£=0.02*12=0.24 m. Is this what I should find?
 
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You'll want to start with the full traveling wave equation which accounts for both time and distance from the source (the argument of the trig function for the wave has terms for both time and distance).
 
gneill said:
You'll want to start with the full traveling wave equation which accounts for both time and distance from the source (the argument of the trig function for the wave has terms for both time and distance).
Could you show me that equation. Maybe we haven't learned it yet.
 
gneill said:
You can look it up on the web. Search for "traveling wave". For example, look at the Hyperphysics website entry.
No we haven't done any equation with velocity except v= λ/T
 
zade70 said:
No we haven't done any equation with velocity except v= λ/T
That's the velocity that the wave travels from the source, and it is relevant here as part of the traveling wave equation. If you haven't covered it yet you'll have to read ahead in order to answer this question.
 

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