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It is shown that an oldest form of variational calculus of mechanics, theMaupertuis least action principle, can be used as a simple and powerfulapproach for the formulation of the variational principle for damped motions,allowing a simple derivation of the Lagrangian mechanics for any dissipativesystems and an a connection of the optimization of energy dissipation to theleast action principles. On this basis, it is shown that not all motions ofclassical mechanics obey the rule of least energy dissipation or follow thepath of least resistance, and that the least action is equivalent to leastdissipation for two kinds of motions : all stationary motions with constantvelocity and all motions damped by Stokes drag.

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