A rigid body has rotational inertia about an axis that passes through its center of mass

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A rigid body has rotational inertia

I_{\text{cm}}

about an axis that passes through its center of mass. Can its rotational inertia about any parallel axis located a finite distance

d

away ever be less than

I_{\text{cm}}

? Briefly justify your answer.