Conservation of Angular Momentum from Newton's third law

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SUMMARY

The discussion centers on the conservation of angular momentum as it relates to Newton's third law of motion, specifically in systems of particles. It is established that while action and reaction forces are equal and opposite, they do not necessarily lie along the line connecting the particles, which is crucial for the conservation of angular momentum. The total angular momentum of a system is conserved only when external torque is absent. The conversation highlights that in idealized cases of contact forces, conservation holds true regardless of the perspective, particularly in collision scenarios.

PREREQUISITES
  • Understanding of Newton's Third Law of Motion
  • Familiarity with angular momentum concepts
  • Knowledge of external torque and its effects
  • Basic principles of particle systems in mechanics
NEXT STEPS
  • Study the implications of Newton's Third Law in various mechanical systems
  • Explore the mathematical formulation of angular momentum conservation
  • Investigate the role of external torque in dynamic systems
  • Examine collision mechanics and their impact on angular momentum
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in the principles of motion and angular momentum conservation.

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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