D-Alembert's Principle | Formula

D-Alembert's principle is a statement of fundamental classical laws of motion. It is also known as Lagrange D-Alembert's principle. It is discovered by French physicist and mathematician Jean le Rond d'Alembert. 

Principle of d'Alembert:


D-Alembert's principle states that the resultant force acting on the body together with the inertia force or reversed effective force are in equilibrium. 

Consider a rigid body that is acted upon by a system of force. The system may be reduced to a single resultant force on the body whose magnitude is given by the product of mass and linear acceleration of the body. According to newton's second law of motion, 

F = ma  

P - ma = 0 

P + Fi = 0 

Where Fi is called an inertia force. 

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