You are given a
large collection of identical heavy balls and lightweight rods. When two balls
are placed at the ends of one rod and interact through their mutual
gravitational attraction (as is shown on the left), the compressive force in
the rod is $F = 1N$. Next, four balls and four rods are placed at the vertices
and edges of a square (as is shown on the right). What is the compressive force
in each rod in the latter case?