What does D′Alembert’s principle state that “The system of forces acting on a body in motion and the Inertia force of the body is in dynamic equilibrium”
But how does this helpfull? Where it is applied?
Do you know Newton’s second law (Law of acceleration)? What did it state?
It states F=ma.
Whereas
- F = Resulting force acting on the body
- m = Mass of the body
- a = Linear acceleration of the centre of mass of the body
F=ma
Mathematically we can write the following
F-ma = 0
This we can frame as F as the resultant force and ma is the forces acting on the body. Both these two forces will be in equilibrium. This is what D′Alembert’s Principle states.
And yes D-Alembert’s Principle is another form of Newton’s second law. It is also known as the Lagrange–d’Alembert principle, and it is also the fundamental laws of motion.
Very helpful for me as a practising student engineer
Thanks