Servo-Constraints in Mechanics - Comments

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The discussion revolves around a new blog post titled "Servo-Constraints in Mechanics." Feedback highlights the need for improved readability, suggesting darker text and corrections for typos. Participants express confusion regarding the article's clarity, particularly about the definition and significance of servo constraints and the historical context from 1922. There is a suggestion that the article may be aimed at a knowledgeable audience rather than beginners. Overall, the need for clearer explanations and context in the article is emphasized.
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Greg Bernhardt submitted a new blog post

Servo-Constraints in Mechanics
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The article would be easier to read if the type was darker.
 
Fix typo: "pendulum started" instead of "pendulum stated" ?
 
Stephen Tashi said:
Fix typo: "pendulum started" instead of "pendulum stated" ?
Thank you, there must be "pendulum is placed" ,i do not know how to fix it
 
it is very interesting, but its value is negative, because it does not state the problem to solve, meaning what are servo constraints? what "problem" did it solved (back in 1922)?
or maybe this is an article directed to whom ever knows the THING and not layman, if so...apologies.
 
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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