What is D’Alembert’s Principle?

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Question: What is D’Alembert’s Principle?

Topics: Physics, Principle in Physics

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Answer #1#

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D’Alembert’s principle states that for a system of mass of particles, the sum of difference of the force acting on the system and the time derivatives of the momenta is zero when projected onto any virtual displacement. It is also known as Lagrange-d’Alembert principle, named after French mathematician and physicist Jean le Rond d’Alembert.

D’Alembert’s principle can be explained mathematically in following way:

∑i(Fi−miai)δri=0

Where,

i: integral used for the identification of variable corresponding to particular particle in the system

Fi: total applied force on the ith place

mi: mass of the ith particles

ai: acceleration of ith particles

miai: time derivative representation

𝜹ri: virtual displacement of ith particle

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Answered By:
Kumar Sree

Kumar Sree

Painting, Video Editing, Web design

Mumbai, India

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Answer #2#

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Principle: for a system of mass of particles, the sum of difference of the force acting on the system and the time derivatives of the momenta is zero when projected onto any virtual displacement

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Answered By:
Kumar Sree

Kumar Sree

Painting, Video Editing, Web design

Mumbai, India

Only Logged in users can post reply.


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