Changes

The '''conservation of angular momentum''' is a fundamental concept of physics along with other [[conservation law]]s such as those of [[energy]] and [[momentum (physics)|linear momentum]]. It states that the angular momentum of a system remains constant unless changed through an action of external [[force]]s.

The '''conservation of angular momentum''' is a fundamental concept of physics along with other [[conservation law]]s such as those of [[energy]] and [[momentum (physics)|linear momentum]]. It states that the angular momentum of a system remains constant unless changed through an action of external [[force]]s.

In [[Newtonian mechanics]], the angular momentum of a point mass about a point is defined as <math>\vec H = \vec r \times \vec p</math> where <math>\vec{r}</math> is the position [[vector quantity|vector]] of the point mass with respect to the point of reference and <math>\vec{p}</math> is the [[momentum (physics)|linear momentum]] vector of the point mass.

In [[Newtonian mechanics]], the angular momentum of a point mass about a point is defined as <math>\vec{L} = \vec r \times \vec p</math> where <math>\vec{r}</math> is the position [[vector quantity|vector]] of the point mass with respect to the point of reference and <math>\vec{p}</math> is the [[momentum (physics)|linear momentum]] vector of the point mass.

The principle of angular momentum can be applied to a system of particles by summing the angular momentum of each particle about the same point. This can be represented as:

The principle of angular momentum can be applied to a system of particles by summing the angular momentum of each particle about the same point. This can be represented as:

<math>

<math>

\vec{H}_{sys} = \sum_i \vec{H}_i

\vec{L}_{sys} = \sum_i \vec{L}_i

</math>

</math>

where

where

:<math>\vec{H}_{sys}</math> is the total angular momentum of the system

:<math>\vec{L}_{sys}</math> is the total angular momentum of the system

:<math>\vec{H}_i</math> is the angular momentum of the i^th particle

:<math>\vec{L}_i</math> is the angular momentum of the i^th particle

==Proof of conservation==

==Proof of conservation==