Moment of Inertia of disk

The video tutorial explains how to calculate the moment of inertia of a uniform disc about its center of mass. It begins with an introduction to the concept and formula, followed by a discussion on choosing a suitable mass element for integration. The tutorial then calculates the mass element using density and area, performs integration with appropriate limits, and simplifies the result to derive the well-known formula for the moment of inertia of a uniform disc.

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

Explain how the total mass of the disk is related to its density and area.

What is the final expression for the moment of inertia of a uniform disk about its center of mass?