Mechanics dynamics - example 8

Thin rod is fixed to the ceiling on one of its ends. End of rod is fixed to the ceiling by joint. Rod has length l[m] and mass m[kg]. Rod executes rotary motion around joint. Angular velocity ω is known. Rod is placed in Earth's gravity field. Subject of example is designation of maximum force which works in rod's center of mass. Rod is under influence of centrifugal force and gravity force.