Difference between revisions of "Conservation of Angular Momentum"
From Conservapedia
BillOhannity (Talk | contribs) |
|||
| Line 1: | Line 1: | ||
| − | The angular momentum of a point mass about a point is defined as <math>\vec H = \vec r \times \vec p</math> where '''r''' is the position [[vector quantity|vector]] of the point mass with respect to the point of reference and '''p''' is the [[momentum|linear momentum]] vector of the point mass. | + | The '''angular momentum''' of a point mass about a point is defined as <math>\vec H = \vec r \times \vec p</math> where '''r''' is the position [[vector quantity|vector]] of the point mass with respect to the point of reference and '''p''' is the [[momentum|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. | 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. | ||
Revision as of 01:44, January 25, 2008
The angular momentum of a point mass about a point is defined as 
where r is the position vector of the point mass with respect to the point of reference and p is the 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.
The derivative of angular momentum with respect to time is equal to the sum of the external moments applied to the system. This relation is shown by the equation 
From this, it can be concluded that in the absence of an external moment, angular momentum must be conserved.
