Splint, what can I say? I had a productive morning. :-)
Thanks, Barb, Petey, and Lazyman. Barb, you’ll like my wife’s wood choice—walnut.
The weight will keep it from tilting backward when both sides are unfolded all the way. In that case, all the cart’s weight is in the back. The main problem is the inset casters. They make what’s already a small footprint even smaller, and the rear ones are a bit like a seesaw’s fulcrum.