This is a question for all those frum mechanical engineers or architects out there:
The Midrash Rabbah on Eichah states:
"If any object's width is not a third of its height, it cannot stand!"
Although this must be true at some level, I am wondering if the pshat understanding is in fact correct? From what I remember, as long as the center of mass is above the base, the object will stand. I assume the Midrash is talking about a free-standing structure - i.e. no underground base or support. Also if we are talking about an object of constant density, does the stability of balancing the object become sensitive after the width-height ratio mentioned in the Midrash?
In either case, does anyone know of a deeper explanation (if any)?