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Are Lagrangian Mechanics better even if we know the exact force that is being applied? In that case, are the external forces being incorporated into the different expressions of energy?


I guess this should give equivalent results to Newton's laws in theory, but are there cases when practical concerns (like numerical stability, how quickly numerical methods converge, etc.) would favor one over the other?


How would you determine of the object and apply this is there wasn't uniform density?


Scalar energy implies simpler gradient


Why is it that accurate physics seems to be the best for animation? Is there not some alternate motion laws that don't exist in the real world but might look good on camera?