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 $\vec{p}$. This particle experiences a net force $\vec{F}_{net}$, 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), $\vec{r}$, 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), $\vec{r}$, we can show this results in the angular momentum principle.
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