Angular Momentum of a Point Mass

📊 intermediate

$$L = mvr \sin \theta$$

The rotational equivalent of linear momentum for a particle.

Variables & Units

$L$

Angular Momentum

Unit: $kg \cdot m^2/s$

$v$

Linear velocity

Unit: $m/s$

$r$

Distance from axis

Unit: Meter ($m$)

Key Information

📐 Derived From

Cross product $\vec{r} \times \vec{p}$.

💡 Example

Angular momentum of an electron in orbit.

🔧 Applications

Gyroscope stability and orbital mechanics.

⚠️ Constraints

Measured relative to a specific origin.

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