183_notes:ap_derivation

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183_notes:ap_derivation [2014/11/20 18:06] caballero183_notes:ap_derivation [2014/11/20 18:06] (current) caballero
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 ===== Derivation of the Angular Momentum Principle ==== ===== Derivation of the Angular Momentum Principle ====
  
-Consider a single particle (mass, m) that is moving with a momentum p. This particle experiences a net force $F_{net}$, which will change the particle's momentum based on the momentum principle,+Consider a single particle (mass, m) that is moving with a momentum $\vec{p}.Thisparticleexperiencesanetforce\vec{F}_{net}$, which will change the particle's momentum based on the momentum principle,
  
-$$F_{net} = \dfrac{d\vec{p}}{dt}$$+$$\vec{F}_{net} = \dfrac{d\vec{p}}{dt}$$
  
 Now, if we consider the cross product of the momentum principle with some defined lever arm (e.g., the origin of coordinates), r, we can show this results in the angular momentum principle. Now, if we consider the cross product of the momentum principle with some defined lever arm (e.g., the origin of coordinates), r, we can show this results in the angular momentum principle.
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