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How do Boundary Conditions behave in a rotating coordinate system?

I am doing a model of a misaligned gear coupling. On one hand, I have the "male" where I apply the torque and in the other hand I have the "female", which is misaligned and to whom I want to apply an angular velocity .
My bodies are associated to a cylindrical reference system.
 
I would like to know, how the boundary conditions of the torque and angular velocity are applied to the bodies when they are misaligned.
 
Thank you in advance for your answer!