I am having a difficult time with visualizing/determining what would be the direction of force exerted on two stationary metal rods by two pivoting levers which are spring-loaded.
To help explain what I am referring to, please consider the following drawing:
This drawing is showing a wooden board with two metal rods fastened to it (shown as blue dots), two rectangular metal levers with holes in them, so they can pivot around the metal rods, and a bungee cord (instead of a spring) that is fastened to each of the metal levers. Also, both of the metal rods are greased so the metal levers will easily rotate around them.
If you were to factor out air resistance and gravity such that this board was floating in interstellar space, when the two metal levers are pulled away from each other until they each reach a $90$ degree position from their at-rest position and are then released, as they are being returned to their at-rest position via the action of the bungee cord, will the direction of force exerted upon the two metal rods by the two metal levers always be towards point A?
Or, as the levers pivot around the rods, will there be some exerted force directed towards A, and some exerted force directed downwards towards the bottom of board?
I believe that the answer is that as the metal levers and the bungee cord accelerate towards their at-rest position, this will cause the metal levers to be pulled downwards due to the creation of centrifugal force (CF). So, as the levers rotate around the rods, the combination of the force being exerted towards 'point A' along with the centrifugal force pulling on each lever should result in a net direction of force that is in a slightly downward direction towards the bottom of the board. See revised drawing below.
Unfortunately, I cannot prove this with formulas/equations for I have forgotten most of what I learned in a calculus course which I took back in high school, which was a long time ago.