Integration moment of inertia, denoted as I, quantifies an object’s resistance to angular acceleration. It is calculated by integrating the product of each differential mass element (dm) and the square of its perpendicular distance (r) from the axis of rotation. This summation provides a measure of the object’s mass distribution and how it contributes to its rotational motion. The integration moment of inertia is crucial in understanding the dynamics of rotating systems, such as flywheels, gyroscopes, and rotating machinery.
