A thin rod (uniform density and thickness) has mass M and length L. It is attached to the floor at a fixed location by a frictionless hinge. The rod starts at rest, balanced vertically on its hinge end. Use the hinge as the pivot (rotational axis) for ALL of the following questions
Question: What is the Final Angular Veloctiy of the rod just before it hits the floor? Wf = ______?
(Hint: Use conservation of energy) Express final answer in terms of variables L, M, g and mathematical consants and use simplest anlgebraic forms)