Modeling a Triangular Wave Pulse on a Taut String

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Homework Help Overview

The discussion revolves around modeling a triangular wave pulse on a taut string, focusing on its mathematical representation and physical parameters such as speed, tension, and linear mass density. The original poster expresses confusion regarding the variables L and h in the context of the wave pulse's shape.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants explore the meaning of the parameters L and h, with some suggesting plotting the function to gain clarity. Questions arise about the nature of the power mentioned in the problem and the specific intervals referenced.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the problem's parameters and the original poster's understanding. Some guidance has been offered regarding plotting the function, but there remains uncertainty about the definitions and context of the variables involved.

Contextual Notes

There is a noted lack of clarity regarding the definitions of L and h, which are crucial for interpreting the wave pulse's shape. Additionally, the original poster's request for the complete problem statement indicates potential missing information that could aid in understanding.

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Homework Statement



A triangular wave pulse on a taut string travels in the positive x-direction with speed v. The tension in the string is F, and the linear mass density of the string is u. At t = 0, the shape of the pulse is given by:

y(x,0) = 0 if x < -L
h(L + x)/L for -L < x < 0
h(L - x)/L for 0 < x < L
0 for x > L

The Attempt at a Solution



I don't really know where to start, I'm having problems interpreting the question; what does L represent? What is the h function?
 
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Bump; anyone?
 
Plot the function. You will see what L is.

What is the question in the problem?

ehild
 
how can i plot the function if i don't know what L is?
 
Choose the scaling of x to be L and h of y.

ehild
 

Attachments

Thanks;

Also, why is it that the power during the interval [-1,1] is constant?
 
What power? And why [-1,1]? Copy the whole problem, please. What is the question?
 

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