Angular momentum in a particle system

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SUMMARY

The discussion focuses on calculating the net angular momentum of a three-particle system, where all particles have the same mass and constant speed. The key formula used is angular momentum, defined as mass multiplied by the radius cross product with velocity. Participants are tasked with ranking points a, b, c, d, and e based on the magnitude of angular momentum, emphasizing the importance of the reference point for distance measurement. The consensus is that the distance from the reference point significantly influences the angular momentum calculation.

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  • Understanding of angular momentum concepts
  • Familiarity with vector mathematics
  • Knowledge of cross product operations
  • Basic principles of particle motion
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Figure 11-26 shows three particles of the same mass and the same constant speed moving as indicated by the velocity vectors. Points a, b, c, and d form a square, with point e at the center. Rank the points according to the magnitude of the net angular momentum of the three-particle system when measured about the points, greatest first (use only the symbols > or =, for example a>b>c=d=e).

http://files.upl.silentwhisper.net/upload5/phyprob.GIF


Okay, so angular momentum is equal to mass (radius cross product velocity). Since velocity is constant and the mass is the same, this leads only the radius or distance to compare. However, I am not quite sure how I should judge the distance of the particles. I mean what is the origin or the reference point that should use to judge these particles from?
 
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Perhaps label each ball with 1, 2, 3 and decide which balls contribute the angular momentum with respect to each point, a, b, c, d, e.
 

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