Changes

Jump to navigation Jump to search
no edit summary
Line 1: Line 1: −
The angular momentum of a point mass about a point is defined as <math>\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.
   −
The [[derivative]] of angular momentum with respect to time is equal to the sum of the external moments (<math>\vec r \times \vec F</math>) applied to the system. From this, it can be concluded that in the absence of an external moment, angular momentum must be conserved.
+
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 <math>\vec {\dot H} = \vec r \times \vec F</math>  From this, it can be concluded that in the absence of an external moment, angular momentum must be conserved.
    
[[Category:Physics]]
 
[[Category:Physics]]
140

edits

Navigation menu