Imagine a rod of length \(l\) standing vertically against a wall. The rod is kicked off the wall slightly to begin moving. Assuming that the rod is always in contact with the wall, find: a)the trajectories of all points on the rod. b)if the rod, as it falls, leaves behind dark marks, the area those marks cover. c)the equation of the boundary of this area.
It'd be nice if someone could derive the equations of motion for a non-constrained rod, but i know it's a difficult problem.However, i can answer the first three. Have fun!