Equations of Motion - Rigid Bodies

Rotational Kinetics

The net external torque about a fixed axis causes angular acceleration ($\alpha$), opposed by the body’s rotational inertia ($I$).

$\sum M_O=I_O\alpha$

Applying torque over a rotational displacement $(\Delta \theta )$ does work that transfers into rotational kinetic energy, while applying torque over time $(\Delta t)$ changes the body’s angular momentum.

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