Increases the torque, making it easier to cause rotation.

The object is in rotational equilibrium and will either not rotate or rotate at a constant angular velocity.

The object experiences angular acceleration.

Makes it easier to change the object's rotational motion.

Decreases their moment of inertia, making them spin faster.

Their moment of inertia increases, and they slow down.

Torque ($\tau$) is the rotational equivalent of force; it causes objects to rotate.

Moment of inertia (I) is the rotational equivalent of mass; it indicates resistance to changes in rotational motion.

Angular acceleration ($\alpha$) is the rate of change of angular velocity.

Rotational equilibrium occurs when the net torque on an object is zero ($\sum\tau = 0$), resulting in no rotation or constant angular velocity.

$\tau = rF\sin(\theta)$ where $\tau$ is torque, F is force, r is the distance from the pivot, and $\theta$ is the angle between the force and radius vectors.

Torque: rotational force, causes rotation. | Force: linear force, causes linear acceleration.

Moment of Inertia: resistance to rotational acceleration, depends on mass distribution. | Mass: resistance to linear acceleration, intrinsic property.

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

Linear: F=ma | Rotational: ∑𝜏 = Iα

Clockwise: Usually considered negative, results in rotation in the clockwise direction. | Counter-Clockwise: Usually considered positive, results in rotation in the counter-clockwise direction.