Moments and Forces example thin rod pinned at one end

The video tutorial explains how to determine the magnitude of the reaction force on a thin rod undergoing circular motion. It begins with setting up the problem and drawing a free body diagram, followed by applying Newton's laws to analyze forces in the X and Y directions. The tutorial then calculates the angular acceleration (alpha) and uses it to find the reaction force. The final solution involves calculating the magnitude of the total reaction force using the components found earlier.

What is the relationship between the forces in the Y direction and the acceleration of the center of mass?

How do you calculate the moment of inertia of the rod about point O?

What is the final expression for the total reaction force from the pin?