Solving for Wave Speed: A Guitar String's Story

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Homework Help Overview

The problem involves a guitar string vibrating in its fundamental mode, with specific parameters such as the length of the string segment, maximum transverse acceleration, and maximum transverse velocity. The objective is to determine the wave speed of the transverse traveling waves on the string.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express uncertainty about how to begin solving the problem and seek clarification on the requirements. There is a suggestion to consider the equation for displacement of a point on the string, indicating a focus on the mathematical representation of the wave.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some have requested further clarification on the problem statement, while others are attempting to connect the physical concepts to mathematical expressions.

Contextual Notes

Participants are navigating the constraints of the problem, including the need to derive relationships between the given parameters without explicit guidance on methods or solutions.

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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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