Angular momentum conservation and center of mass

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SUMMARY

The discussion focuses on a physics problem involving two bodies of equal mass, M, connected by a massless pole of length L, which are initially at rest on a horizontal table. At time t=0, a bullet of mass m collides elastically with the pole. Key principles applied include momentum conservation, angular momentum conservation, and energy conservation. The participant successfully resolved the problem after initial difficulties with mathematical representation.

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  • Knowledge of angular momentum conservation
  • Familiarity with elastic collision concepts
  • Basic proficiency in physics problem-solving techniques
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  • Explore angular momentum calculations in multi-body systems
  • Review energy conservation laws in physics
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Eitan Levy
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Homework Statement


Two bodies with an equal mass of M are attached by a pole with no mass with a length of L. The system is placed on a horizontal table and at first it is at rest. At t=0 a bullet with a mass of m hits the pole, as described in the picture. The collision is completely elastic.
jeRQRBs.png


Homework Equations


Momentum conservation.
Angular momentum conservation.
Energy conservation

The Attempt at a Solution


Typing math here is a nightmare for me so I will attach a picture explaining what I tried:
LYJc5L7.png


Thanks a lot.
 

Attachments

  • jeRQRBs.png
    jeRQRBs.png
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  • LYJc5L7.png
    LYJc5L7.png
    27.7 KB · Views: 481
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