Conservation of Angular Momentum from Newton's third law

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Discussion Overview

The discussion revolves around the relationship between Newton's third law and the conservation of angular momentum, particularly in the context of systems of particles and collisions. Participants explore the nuances of how action-reaction forces relate to angular momentum conservation.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses dissatisfaction with the explanation in a textbook regarding how Newton's third law does not lead to conservation of angular momentum.
  • Another participant notes that while the third law states action and reaction forces are equal and opposite, it does not imply they lie along the line joining the particles, which is necessary for conservation of angular momentum when external torque is zero.
  • A later reply suggests that the initial participant may have misinterpreted the book, indicating a potential misunderstanding of the concepts presented.
  • Another participant emphasizes that in the idealized case of contact forces, the conservation of total angular momentum holds true regardless of perspective.
  • There is a suggestion that the discussion is particularly relevant to collisions, highlighting a specific scenario where these principles apply.

Areas of Agreement / Disagreement

Participants do not reach a consensus; instead, they present multiple viewpoints regarding the implications of Newton's third law on angular momentum conservation, particularly in different contexts such as collisions.

Contextual Notes

The discussion reflects varying interpretations of the conditions under which angular momentum is conserved, particularly the role of force direction and external torque. There are unresolved aspects regarding the application of these principles in different scenarios.

vjraghavan
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I am reading Introduction to Mechanics by Kleppner and Kolenkow. I am now reading the articles dealing with conservation of angular momentum. I am not satisfied with the articles dealing with how the third law does not lead to conservation of angular momentum. Could anyone please throw some light there?
 
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I don't have the book right now with me, so I'm a bit unsure of exactly what you don't like. I presume that you are talking about system of particles. The third law states that the action and reaction forces are equal and opposite, but does not say that they lie along the line joining the particles. Only in the latter case will the total angular momentum of a system be conserved if the external torque is zero.
 
I think I got it now. I read into the book incorrectly. :D
 
Shooting star said:
I don't have the book right now with me, so I'm a bit unsure of exactly what you don't like. I presume that you are talking about system of particles. The third law states that the action and reaction forces are equal and opposite, but does not say that they lie along the line joining the particles. Only in the latter case will the total angular momentum of a system be conserved if the external torque is zero.
Of course, in the special (&idealized) case of CONTACT forces, the joining line segment is of zero length, and hence, the conservation of total angular momentum is preserved anyhow we look at it...
 
So, the case you are talking about is more pertinent for collisions, it seems to me?
 
Shooting star said:
So, the case you are talking about is more pertinent for collisions, it seems to me?
That's a typical case, yes.
 

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