Where would an ideal wire break?

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Discussion Overview

The discussion centers around the hypothetical scenario of an ideal wire subjected to equal forces from both ends, exploring where the wire would break under increasing tension. The scope includes theoretical considerations of material properties and the implications of idealization in physics.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests that due to the symmetry of the situation, it is unclear where the wire would break, questioning if it would break at a single point or into multiple pieces.
  • Another participant proposes that if the wire is homogeneous and brittle, a shockwave would travel along the wire, leading to a break at the ends where the force is applied first.
  • A different participant raises a concern about the practicality of the scenario, arguing that in reality, no wire is perfectly uniform, and thus the break could occur at any point depending on the weakest section.

Areas of Agreement / Disagreement

Participants express differing views on the implications of idealization, with some focusing on the theoretical aspects of the wire's behavior and others emphasizing the limitations of applying such ideal conditions to real-world materials. No consensus is reached regarding the exact point of failure.

Contextual Notes

The discussion highlights assumptions about material properties, such as homogeneity and brittleness, and the implications of ideal conditions versus real-world imperfections. The dependency on the weakest point in the material is also noted but remains unresolved.

Heirot
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Here's a no brainer for you guys...

Suppose we have an ideal straight wire lying on the table. Then we pull it with equal forces on both sides. Let's say we start from zero force and then gradually magnify the force. A one point, the wire would break. But, where would it break? As the situation is totally symmetrical, there is no preffered point on it. Would it break into infinitely many pieces? Would it not break at all? In the center?

Thanks...
 
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Considering the wire is homogeneous (i.e hypothetical wire) and 100% brittle; when the force increments, there's actually a shockwave traveling along the length of the wire, now since the shockwave will originate at the ends, i.e the ends will the first to experience the ultimate stress limit, it will break from the ends from where force is applied.
 
Hm, interesting, I'd never thought of that!
 
Heirot said:
Hm, interesting, I'd never thought of that!

I understand we're talking about an "ideal" wire here, but "ideal" wires don't actually exist in the real world, so the question is more an exercise in futility.

In the real world, nothing is manufactured to absolute perfection therefore, nothing possesses 100% uniformity in its manufacture or material consistency. This makes it just as likely for the wire to separate anywhere between the two points that are producing the stress. It simply depends upon which point is the weakest, which brings to mind the old adage; "A chain is only as strong as its weakest link". Naturally, this applies to a wire as well.
 

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