I finally got around to a solution with our dinette table with two poles. Irene and I are both very pleased with the results.
The problem was when one of us leaned on the table, it would tip. Not a lot, but enough to slosh a drink too much causing a spill.
I mounted a board along the outside wall, added a full-covering strip of soft Velcro over it, and added a tiny piece of mating Velcro to the underside of the table-top. Now the table is extremely stable. I cut angled corners to the stabilizer board to eliminate a sharp corner to get hurt on whether setup as a dinette or setup as a bed.
The black Velco strip is the soft portion, 2" wide, rolled over the edge down the side a bit. It acts as a soft cushion to prevent squeaking and such.
Adding a 2" long piece of mating Velcro on the underside of the table-top is enough to increase stability.
Too much Velcro would make it difficult to remove the table.
Here you can see I counter-sunk the wall-side holes larger to clear the anchor heads.
If not done, the board would not lay flat against the wall.
I bought these wall anchors but had to use extra long screws to pass through the board.
