Second Moment of Area Example 1

The video tutorial explains how to calculate the area moment of inertia about the X axis for a rectangle using double integrals. It begins with an introduction to the concept and problem statement, followed by setting up and evaluating the double integral. The tutorial concludes with the final calculation and a discussion on how the axis placement affects the result.

What are the limits of integration for the inner integral when calculating the area moment of inertia?

How would the area moment of inertia change if the axis was placed at the centroid of the rectangle?