Rate of change of area with deformation

In summary, the conversation involves a request for a hint on how to start a question and how to parameterize variables. The poster apologizes for a delayed reply due to being in the eastern time zone and asks for a clearer image of the work being discussed. They also suggest typing out the problem and providing a better description of the situation.
  • #1
Coderhk
59
2
Homework 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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  • #2
The image you posted was very poor quality, with bad lighting. Please post a clearer image of your work.
 
  • #3
Mark44 said:
Please post a clearer image of your work.
Or, preferably, type it out.
 
  • #4
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.
 

1. What is the rate of change of area with deformation?

The rate of change of area with deformation is a measure of how the area of an object changes as it undergoes deformation, or a change in shape or size. It is typically expressed as a ratio of the change in area to the change in deformation.

2. How is the rate of change of area with deformation calculated?

The rate of change of area with deformation is calculated by taking the derivative of the area with respect to the deformation. This can be done using mathematical equations or through experimental measurements.

3. What factors can affect the rate of change of area with deformation?

The rate of change of area with deformation can be affected by various factors, including the material properties of the object, the type and magnitude of the deformation, and the temperature and pressure conditions.

4. Why is the rate of change of area with deformation important?

The rate of change of area with deformation is an important concept in materials science and engineering, as it helps to understand how different materials behave under different types of deformation. This information can be used to design and improve structures and products.

5. How can the rate of change of area with deformation be applied in real-world situations?

The rate of change of area with deformation has various applications, such as in the design of mechanical components, the analysis of material behavior under stress, and the development of new materials with desired properties. It is also important in fields such as biomechanics and geology, where deformation plays a crucial role.

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