NEB Physics: Rotational Dynamics, Torque & Moment of Inertia Theorems

Rotational dynamics maps linear mechanics into rotational analogues: mass $\rightarrow$ moment of inertia ($I$), force $\rightarrow$ torque ($\tau$), momentum $\rightarrow$ angular momentum ($L$).

Parallel Axis Theorem ($I = I_{cm} + Md^2$)

State the theorem precisely: The moment of inertia about any axis equals the moment of inertia about a parallel centroidal axis plus the product of mass and square of perpendicular distance. Always draw the centroidal axis diagram.