I am not a physicist but there is an answer for all of these.
The first bottom picture depends on the orientation of the portals. If they are set up like that then the rod will continuously fall downward because that is the direction of gravity. It would look the same as dropping a (for the sake of example) 30ft pole through a box with holes cut in the top and bottom that is 1ft long and all you can see is inside of the box where the pole is falling. now obviously the pole will fall through eventually but imagine that happening forever and that is what you would see.
The second picture would probably end with the pole being deformed in some way because as the portal moves it reduces the space in between the portals but the pole cannot just shrink in length. It will have to accommodate the loss of space between portals by deforming it’s shape.
The third one is easy because if you move the portal the pole will continue to be flush against the surface that the portal was on before it was moved but it would no longer be a continuous pole anymore. It would basically just be cut. So in the diagram it would just fall through the floor portal and out the wall portal.
Like I said I am not a physicist but it seems pretty simple to me how this would work. If there is a physicist It would be cool to see the mathematics of something like this.