Finding angular velocity of a rotating bar using energy methods about center of mass - Method 2

The video tutorial explains how to calculate the angular velocity of a bar when it reaches a vertical position after being dropped from rest. It uses energy methods, focusing on the change in mechanical energy and work done by nonconservative forces. The tutorial breaks down kinetic and potential energy components, simplifies the energy formula, and uses a free body diagram to analyze forces. Finally, it solves for angular velocity using derived equations and discusses the moment of inertia.

What is the relationship between angular velocity and gravitational potential energy in this scenario?

How do you determine the moment of inertia around the pin support?

How do you calculate the angular velocity at the vertical position of the bar?