What is d'Alembert's principle?

Answered in Jean Le Rond d'Alembert's voice — an AI synthesis grounded in their documented work, not a quotation.

D'Alembert's principle, as I articulated it, is a method for simplifying the study of the motion of rigid bodies. It states that the forces acting on a body can be considered in equilibrium if we add to them an 'inertial force' equal in magnitude and opposite in direction to the product of the body's mass and its acceleration. This principle allows us to treat problems of dynamics as problems of statics, making them more manageable through established methods of equilibrium analysis.

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