D'Alembert's Principle: Is the Force Conservative?

In summary, D'Alembert's Principle is a fundamental principle in classical mechanics that relates forces to motion by stating that the sum of external forces and inertial forces is equal to zero. It is named after French mathematician and physicist Jean le Rond d'Alembert, and is essentially a reformulation of Newton's Second Law of Motion. Its significance lies in simplifying the analysis of motion and it can be applied even if the forces are not conservative.
  • #1
Dweirdo
174
0
Well,most of You know this principle,
I just know 1 part of his work, which is that there is a force in an accelerated frame on a mass that equals MA and is in the opposite direction.
so I have a question, is the force(fictitious or not) used in the accelerated frame ,conservative or not conservative?

Thanks :D
 
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  • #2
The only condition AFAIK for D'Alembert principle is that the constraint forces should be workless.
 
  • #3
Ow,but the force acts on they body(in the accelerating frame ) and say a body moves, so no work was done on him?
 

Related to D'Alembert's Principle: Is the Force Conservative?

1. What is D'Alembert's Principle?

D'Alembert's Principle is a fundamental principle in classical mechanics that relates the forces acting on a body to its motion. It states that the sum of the external forces and the inertial forces (resulting from the body's acceleration) is equal to zero.

2. Who is D'Alembert?

D'Alembert's Principle is named after the French mathematician and physicist Jean le Rond d'Alembert, who first introduced it in the 18th century.

3. How is D'Alembert's Principle related to Newton's Laws of Motion?

D'Alembert's Principle is essentially a reformulation of Newton's Second Law of Motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. D'Alembert's Principle takes into account the inertial forces acting on a body, which are often neglected in Newton's Laws.

4. What is the significance of D'Alembert's Principle?

D'Alembert's Principle is significant because it allows us to analyze the motion of a system without having to explicitly consider the inertial forces. This simplifies the mathematical equations and makes it easier to solve problems in mechanics.

5. Is the force in D'Alembert's Principle always conservative?

No, the force in D'Alembert's Principle is not always conservative. A force is considered conservative if it depends only on the position of the object and not on the path it takes. In some cases, the forces acting on a body may not be conservative, and D'Alembert's Principle can still be applied.

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