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user 332510
Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.
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Newton vs Lagrange's equations for a variable length pendulum
Consider a pendulum with a variable string length $l=f(\theta)$. The Lagrangian is:
$$L = \frac{m}{2}(\dot{l} ^ 2 + l^2 \dot{\theta} ^ 2) + mgl\cos\theta.$$
Using Lagrange multipliers for the holonomi …
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