Counterintuitive uniform bar torque question

[physiksplz]

The uniform bar in the attached diagram pivoted onto a wall on its center of mass and rotated an angle theta>0 from the horizontal should theoretically stay in static equilibrium because all torques are balanced, right?

How come trying to do this in real life usually leads to the bar swinging until the bar is horizontal?

 

[mfb]

In real life, you rarely hit exactly the center of mass with a pivot. The real life equilibrium orientation will depend on where exactly the pivot is.