System Analysis of Collisions and Angular Momentum

[Gh. Soleimani]

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

 

[mfb]

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.