A thin rod of length stands vertically on a table. The rod begins to fall, but its lower end does…

A thin rod of length  stands vertically
on a table. The rod begins to fall, but its lower end does not slide, (a) Deter
mine the angular velocity of the rod as a function of the angle it makes with the
tabletop. (b) What is the speed of the tip of the rod just before it strikes
the table?