Will the axis M-N rotate?

1. The problem statement, all variables and given/known data
A force F is applied over axis M-N in the such shown position. Both of points A and B are not fixed, and can slides inside the black fixed circle. will the applied force (in the shown position) cause the axis M-N to rotate ? if it is not rotating, then what modification should be made?

Note that the distance A-M = N-B, and M-N's length is double the length of A-M.
2. Relevant equations
M = F*r

M: Moment
F: Force
R=distance

3. The attempt at a solution

the force will generate equal moments at both points A and B. Anyhow, both of them will cancel each other, and thus no rotation will occur.

What do you think mates?

 

yup

 

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