Translational Equilibrium: Constant linear velocity, zero net force. | Rotational Equilibrium: Constant angular velocity, zero net torque.

Linear Motion: An object maintains constant velocity unless acted upon by a net force. | Rotational Motion: An object maintains constant angular velocity unless acted upon by a net torque.

Linear Motion: Net force equals mass times acceleration ($\vec{F} = m\vec{a}$). | Rotational Motion: Net torque equals moment of inertia times angular acceleration ($\sum \vec{\tau} = I \vec{\alpha}$).

Force: A linear push or pull. | Torque: A rotational 'twist' or turning force.

Linear Acceleration: The rate of change of linear velocity. | Angular Acceleration: The rate of change of angular velocity.

The state where an object maintains a constant angular velocity due to zero net torque.

The rotational equivalent of force, calculated as $\vec{\tau} = \vec{r} \times \vec{F}$, causing an object to rotate.

The rate at which an object rotates or revolves relative to another point, i.e. how many radians per second the object turns.

The rate of change of angular velocity, resulting from a net torque.

A measure of an object's resistance to changes in its rotation rate. Represented by 'I' in rotational dynamics.

An object maintains a constant angular velocity unless acted upon by a net torque.

A net torque causes angular acceleration, changing the object's angular velocity.

Increasing the distance (r) increases the torque (τ = rFsinθ), assuming force and angle remain constant.

Their moment of inertia decreases, causing their angular velocity to increase to conserve angular momentum.

It creates a torque that causes the rod to rotate around the pivot point, resulting in angular acceleration.

The system is in rotational equilibrium, meaning its angular velocity remains constant.

Angular momentum is conserved.