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Momentum Conservation

(Book: 5.2)

The momentum equation in words: the rate of change of momentum of a material region is the net force on the region:

Lagrangian formulation:

Note: by definition , so we can also write this as .

Note: the book says the momentum equation above cannot be derived from Newton's equation for a point mass. However, setting for an infinitesimal element of fluid with volume and integrating using action = -reaction does produce the momentum equation above.


 
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