A Hamilton's principle and virtual work by constraint forces

AI Thread Summary
The discussion revolves around the confusion regarding Hamilton's principle and the concept of virtual work done by constraint forces. Goldstein's assertion that the virtual work done by constraints is zero is linked to the assumption of ideal constraints, which do not appear in the equation referenced (2.34). There is criticism of others in the forum for misunderstanding the D'Alembert-Lagrange principle and incorrectly labeling constraints as nonideal. The conversation highlights a need for clarity on the definitions and implications of ideal versus nonideal constraints in the context of Hamilton's principle. Overall, the participants seek a better understanding of these concepts and their applications in mechanics.
Kashmir
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Found a question on another website, I have the exact same question. Please help me

Goldstein says :
1631703142815.png


I do not understand how (2.34) shows that the virtual work done by forces of constraint is zero. How does the fact that "the same Hamilton's principle holds for both holonomic and semiholonomic systems" show that the additional forces of semiholonomic constraint do no work in the
##\delta q_k##
 
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Contraints that do zero net virtual work are sometimes called ideal constraints. Not all constraints are ideal (https://hal.archives-ouvertes.fr/hal-01399622/document)

Here Goldstein is asuming ideal constraints (the work of the forces of constraint do not appear in the right hand side of 2.34).
 
andresB said:
aints that do zero net virtual work are sometimes called ideal constraints. Not all constraints are ideal (https://hal.archives-ouvertes.fr/hal-01399622/document)
these guys completely do not understand what the D'Alembert-Lagrange is.
They think that they invented "nonideal constraints" but actually they consider systems with ideal constraints and given active forces applied. Some people begin to write articles before reading textbooks :)
 
Last edited:
wrobel said:
these guys completely do not understand what the D'Alembert-Lagrange is.
They think that they invented "nonideal constraints" but actually they consider systems with ideal constraints and given active forces applied. Some people begin to write articles before reading textbooks :)
So what does the author mean? I still didn't get it
 

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