Calculating moment of inertia for rotating bar around end

The video tutorial explains how to calculate the moment of inertia for a rigid bar rotating around one of its endpoints. It introduces the concept of moment of inertia, discusses formulas for discrete and continuous bodies, and sets up the problem using axes and elements. The tutorial then calculates the density and mass of an element, performs integration with limits, and simplifies the result to derive the moment of inertia formula for a bar rotating around one end.

What are the limits of integration when calculating the moment of inertia for the bar?

How does the assumption of constant density simplify the calculation of moment of inertia?

What is the final formula for the moment of inertia of a bar rotating around one end?