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It is still in balance. If the bar is not moving the moment is the same on each side. (Edit: or the difference in moment is not enough to overcome the friction in the system)
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Now we slide the bar
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The bar will drop on the left and rise on the right. Slightly rotating on the fulcrum. until fulcrum is directly under the cg of the tilted bar or the bar falls over.
This can farther be demonstrated with a "stickier" fulcrum with a larger radius.
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