Maximum speed of point on a string (Waves)

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Homework Help Overview

The discussion revolves around the maximum speed of a point on a string carrying a sinusoidal wave. The original poster is exploring the relationship between the speed of the wave and the speed of a point on the wave when the displacement is half its maximum.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster questions how to relate the maximum speed of the wave to the speed of a point on the string at a specific displacement. Some participants affirm the understanding of the maximum speed, while others provide a specific expression for the speed at half maximum displacement.

Discussion Status

The discussion is active with participants sharing their interpretations of the problem. There is an acknowledgment of the distinction between the wave speed and the point speed, and some participants are providing insights into the relationship between these speeds.

Contextual Notes

There is a lack of explicit equations or detailed methods, and the original poster is navigating through the conceptual understanding of the problem without a complete resolution.

jegues
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Homework Statement



Suppose the maximum speed of a strong carrying a sinusoidal wave is [tex]v_{s}[/tex]. When the displacement of a point on the string is half its maximum, what is the speed of the point?

Express your answer in terms of [tex]v_{s}[/tex]

Homework Equations





The Attempt at a Solution



Well the speed of the wave and the speed of a point on the wave must be two different things, correct?

How can I relate the two?

Thanks again!
 
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I think vs is the maximum speed of a point on the string.

ehild
 
ehild said:
I think vs is the maximum speed of a point on the string.

ehild

It gives the answer as,

[tex]\frac{\sqrt{3}v_{s}}{2}[/tex]
 
Is it a question or a statement? :) It is true, anyway.

ehild
 

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