confused about torque

1. The problem statement, all variables and given/known data

wouldn’t the initial angular speed of 50rad/s cause some rotation about the axis at B (so shouldn’t the FBD include a torque about B?)
And in this question, I don’t know what Mz is. Is it due to the angular speed of 60000rpm?

2. Relevant equations

3. The attempt at a solution

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