On the support of a body by a surface with random roughness
Dmitry Valerevich Treschev · arXiv (Cornell University) · 2013
Suppose an interval is put on a horizontal line with random roughness. With probability one it is supported at two points, one from the left, and another from the right from its center. We compute probability distribution of support points provided the roughness is fine grained. We also solve an analogous problem where a circle is put on a rough plane. Some applications in static are given.