Angular momentum is position cross linear momentum¶
The pseudovector of angular momentum of a particle is the cross product of its position vector and linear momentum. Unlike linear momentum, angular momentum depends on where the origin of the coordinate system is chosen since it depends on the position vector of the particle defined relative to that origin.
Notation:
\(\vec a \times \vec b\) (
cross(a, b)) denotes a cross product between vectors \(\vec a\) and \(\vec b\).
Links:
- position_vector¶
Displacement of the body relative to the origin of the reference frame. See
distance_to_origin.
- Symbol:
r- Latex:
\({\vec r}\)
- Dimension:
length
- Symbol:
p- Latex:
\({\vec p}\)
- Dimension:
momentum
- angular_momentum¶
Pseudovector of
angular_momentum.
- Symbol:
L- Latex:
\({\vec L}\)
- Dimension:
length**2*mass/time
- law¶
L = cross(r, p)- Latex:
- \[{\vec L} = \left[ {\vec r}, {\vec p} \right]\]