1. Identify the moment of inertia (I). 2. Determine the angular velocity ($\omega$). 3. Use the formula: $L = I\omega$.

1. Determine the distance (r) from the reference point. 2. Find the mass (m) and velocity (v) of the object. 3. Measure the angle ($\theta$) between r and v. 4. Use the formula: $L = rmv \sin \theta$.

1. Determine the torque ($\tau$) applied. 2. Measure the time interval ($\Delta t$) over which the torque is applied. 3. Use the formula: Angular Impulse = $\tau \Delta t$.

1. Determine the final angular momentum ($L_f$). 2. Determine the initial angular momentum ($L_i$). 3. Use the formula: $\Delta L = L_f - L_i$.

1. Obtain a torque vs. time graph. 2. Calculate the area under the curve of the graph. 3. The area represents the angular impulse.

The object experiences angular acceleration.

Their moment of inertia decreases, and their angular velocity increases (angular momentum remains constant).

The object's angular momentum changes.

The object's angular momentum changes.

The angular momentum increases (assuming other variables remain constant).

The angular momentum of the system remains constant (conservation of angular momentum).

Use the formula: $L = I\omega$, where L is angular momentum, I is moment of inertia, and ω is angular velocity.

Use the cross product: $\vec{L} = \vec{r} \times \vec{p}$, where $\vec{L}$ is angular momentum, $\vec{r}$ is the position vector, and $\vec{p}$ is linear momentum.

Calculate the area under a torque vs. time graph.

Subtract the initial angular momentum from the final angular momentum: $\Delta L = L - L_0$.

Find the slope of the angular momentum vs. time graph.