The state where an object maintains a constant angular velocity, meaning the net torque acting on it is zero.

A rotational force that causes an object to rotate around an axis. It's calculated as τ = rFsinθ.

The rate at which an object rotates or revolves relative to another point, i.e. how many radians the object turns in a given time period.

A measure of an object's resistance to changes in its rotational motion. It depends on the object's mass and how that mass is distributed relative to the axis of rotation.

The rate of change of angular velocity with respect to time. It's caused by a net torque acting on an object.

The measure of the extent to which an object will continue to rotate; it is the rotational analogue of linear momentum.

1. Identify all individual torques acting on the object. 2. Determine the direction (clockwise or counterclockwise) of each torque. 3. Sum all torques, considering counterclockwise torques as positive and clockwise torques as negative.

1. Calculate the net torque acting on the object. 2. Determine the moment of inertia (I) of the object. 3. Use the formula $\sum \vec{\tau} = I \vec{\alpha}$ to find the angular acceleration ($\vec{\alpha}$).

1. Point your fingers in the direction of the position vector ($\vec{r}$). 2. Curl your fingers towards the direction of the force vector ($\vec{F}$). 3. Your thumb points in the direction of the torque vector ($\vec{\tau}$).

1. Identify all torques acting on the system. 2. Determine the direction (clockwise or counterclockwise) of each torque. 3. Calculate the net torque. 4. If the net torque is zero, the system is in rotational equilibrium.

1. Draw a free-body diagram. 2. Choose a rotation axis. 3. Calculate the individual torques. 4. Set the sum of torques to zero. 5. Solve for unknowns.

Translational Equilibrium: Zero net force, constant linear velocity. Rotational Equilibrium: Zero net torque, constant angular velocity.

Free-body diagrams: Show forces acting on an object. Torque diagrams: Show both forces and the resulting torques.

Angular Velocity: Rate of change of angular position (ω). Angular Acceleration: Rate of change of angular velocity (α).

Linear Momentum: Mass in motion (p = mv). Angular Momentum: Rotational inertia in motion (L = Iω).

Static Rotational Equilibrium: Object is at rest (ω = 0). Dynamic Rotational Equilibrium: Object is rotating with constant angular velocity (ω ≠ 0, but constant).