Which condition describes an increase in rotational inertia?

The condition describing an increase in rotational inertia is characterized by a heavier object being located at a greater distance from the center of mass. Rotational inertia, or moment of inertia, is a measure of an object's resistance to changes in its rotational motion. It depends on both the mass of the object and how that mass is distributed relative to the axis of rotation.

When a mass is increased, it naturally increases the resistance to rotational changes due to its weight. Additionally, the further the mass is from the center of mass (the axis of rotation), the greater the rotational inertia becomes. This is due to the fact that rotational inertia is calculated using the formula I = Σ(mr²), where "m" is the mass of the object, and "r" is the distance from the axis of rotation. As the distance increases, the squared term (r²) significantly amplifies the contribution to the overall rotational inertia.

Thus, a heavier object placed further from the center not only adds more mass but also maximizes the leverage effect due to its greater distance, leading to a pronounced increase in rotational inertia.