Mass: A measure of an object's resistance to linear acceleration. Rotational Inertia: A measure of an object's resistance to angular acceleration; depends on mass and its distribution.

Hoop: Mass is distributed farther from the axis of rotation, resulting in higher rotational inertia. Solid Disk: Mass is distributed closer to the axis, resulting in lower rotational inertia.

Calculate the rotational inertia ($I = mr^2$) for each object and then sum them: $I_{tot} = \sum I = \sum mr^2$.

1. Identify $I_{cm}$ (inertia about the center of mass). 2. Determine 'd' (distance between the parallel axis and the center of mass axis). 3. Calculate $I' = I_{cm} + Md^2$.

A measure of an object's resistance to changes in its rotational motion.

Mass and how that mass is distributed relative to the axis of rotation.

The perpendicular distance of each mass element dm to the axis of rotation.

The rotational inertia about an axis through the center of mass.

The perpendicular distance between the new axis and the axis through the center of mass.