I wanted to consider a second case of my homework assignment. We were asked to solve the question:
A uniform rod of length b stands vertically upright on a horizontal plane in a position of unstable equilibrium. The rod is then given a small displacement at the top and it tips over. What is the rod's angular velocity when it hits the plane, assuming the rod does not slip?
I managed to get an answer from conservation of energy. However, I wanted to also understand what difference there would be if we considered if the base of the rod could slip. How would I go about understanding that situation? Any suggestions would be much appreciated! :)