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. Draw free-body and torque diagrams. 2. Identify a convenient pivot point. 3. Calculate the torque produced by each force. 4. Apply the equilibrium condition (Στ = 0).

1. Identify the force (F) causing the rotation. 2. Determine the distance (r) from the pivot point to the point where the force is applied. 3. Find the angle (θ) between the force vector and the lever arm. 4. Calculate torque using the formula τ = rFsinθ.

1. Identify all forces acting on the object. 2. Calculate the torque produced by each force about a chosen pivot point. 3. Sum all the torques. 4. If the sum of the torques is zero (Στ = 0), the system is in rotational equilibrium.

1. Calculate the net torque (Στ) acting on the object. 2. Determine the object's moment of inertia (I) about the axis of rotation. 3. Use the equation Στ = Iα to solve for the angular acceleration (α).

1. Identify the system and ensure no external torques are acting on it. 2. Calculate the initial angular momentum (L_initial = I_initial * ω_initial). 3. Calculate the final angular momentum (L_final = I_final * ω_final). 4. Set L_initial = L_final and solve for the unknown variable.

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.