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Rate of change of area with deformation

Problem Statement
Suppose I had a coil as shown in the picture. If I was to stretch the wire in the x-axis at a rate v. What is the area as a function of time.
Relevant Equations
X^2+Y^2=z^2
241230
241231



Could I please get a hint on how I should start this question/how I should parameterize these variables?
I'm going to head to sleep as I am from the eastern time zone. I apologize ahead of time for my delayed reply.
 
Last edited:
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The image you posted was very poor quality, with bad lighting. Please post a clearer image of your work.
 

Orodruin

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Please post a clearer image of your work.
Or, preferably, type it out.
 

DrClaude

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You will also have to describe better the situation you are considering. In the problem statement, you say you stretch the wire, but in your solution you say that y decreases with time.
 

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