System Analysis of Collisions and Angular Momentum

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To analyze the final angular velocity of a system involving a particle colliding with a rotating disc, one must apply the principles of angular momentum conservation and, if applicable, energy conservation for elastic collisions. When the particle's mass is negligible compared to the disc's mass, it will reverse direction post-collision. The final velocity and new direction of the particle can be calculated, but the results may vary due to factors like friction and the specifics of the impact. These complexities mean that the outcome is not always straightforward. Understanding these dynamics is crucial for accurate analysis.
Gh. Soleimani
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Consider a particle with velocity "v" has the collision with a rotating disc.
How can I analyze the final angular velocity this system?
If the mass of particle is very negligible related to the mass of rotating disc, definitely particle will turn back after collision. In this case, how can I calculate final velocity of particle after collision and also new direction of particle?

Thanks in advance for your cooperation
 
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Gh. Soleimani said:
How can I analyze the final angular velocity this system?
Angular momentum conservation. And energy conservation if you have an elastic collision. In general those won't lead to a unique result, as the scattering can also depend on friction between the objects and other details of the impact.
 

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