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Let's consider a holonomic constraint:

$$f(q_{1},...,q_{n},t)=0$$

Must every term that compares in the equation be writable as a combination of the variables of a function?

For example, in the holonomic constraint for the pendulum: $x^{2}+y^{2}-L^{2}=0$ , i can write $L$ as a function of $x$ and $y$.

Moreover, the math behind this formula wants that every variable $v\in \left \{ q_{1},...,q_{n},t \right \}$ must compare in the equation?

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  • $\begingroup$ Are you asking if the constraint can be written as a graph of a function? $\endgroup$ – Qmechanic May 28 at 11:44
  • $\begingroup$ „I can write L as a function of x and y“?. No you can write x as function of L and y, or y as function of L and x $\endgroup$ – Eli May 28 at 13:35

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