All Questions
4
questions
2
votes
1
answer
171
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Why is this hamiltonian not the energy? [duplicate]
Let a pendulum of length $\ell$ be connected to a rod that rotates with constant angular velocity $\omega$. $\theta$ is the angle of the pendulum wrt $z$ axis ($z$ axis is parallel to the rod).
I ...
- 980
0
votes
2
answers
156
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Generalized coordinates as components
Why we cannot express Generalized coordinates as a vector like we do with Cartesian coordinates $x$ , $y$ ,$z$ ?
- 11
2
votes
1
answer
724
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How to deal with no-slip non-holonomic constraints in Lagrangian?
I'm solving a dynamical system of a ball of mass $m$ and radius $R$ rolling on a rotating platform ("turntable") for which I found the Lagrangian to be:
$$L=\frac{1}{2} m (\dot{x} - \Omega y)^2 + \...
- 145
4
votes
1
answer
392
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Confusion about imposing constraint in the action
I'm totally confused by one thing. I know that I probably shouldn't be confused about that, but at the moment I don't quite know what fails in the following:
Suppose we have a particle of unit mass ...
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