Solving for Wave Speed: A Guitar String's Story

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The discussion revolves around calculating the wave speed of a vibrating guitar string in its fundamental mode, where nodes are located at each end. The length of the vibrating segment is denoted as "L," with maximum transverse acceleration "a" and maximum transverse velocity "v." Participants express confusion about how to approach the problem and seek clarification on the required equations. A hint is provided suggesting that the displacement of points on the string can be described using sine or cosine functions. The focus remains on deriving the wave speed from the given parameters.
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Homework Statement



A guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is "L" . The maximum transverse acceleration of a point at the middle of the segment is "a" and the maximum transverse velocity is "v" . What is the wave speed for the transverse traveling waves on this string?

Homework Equations



amplitude of this standing wave is : (v^2)/(a)

The Attempt at a Solution



No clue where to even begin?
 
Last edited:
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What is required in the problem? Post the full text of the problem.
 
What is the wave speed for the transverse traveling waves on this string?

My friends and I are pretty stumped... Anything would be much appreciated.
 
Can you write out an equation for the displacement of a certain point on the string? (Hint: it's a sine/cosine function)
 

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