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Results tagged with lagrangian-formalism
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user 97362
For questions involving the Lagrangian formulation of a dynamical system. Namely, the application of an action principle to a suitably chosen Lagrangian or Lagrangian Density in order to obtain the equations of motion of the system.
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Is this momentum and if so how is it derived?
So I'm reading Susskind's "The Theoretical Minimum" and on pages 128 and 129, he has the following equations:
First he starts with the Lagrangian for the system:
$$L=\frac{1}{2}(\dot{q_1}^2+\dot{q_2 …
- 225
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Finding the value of the holonomic constraint forces
So let's say I have a Lagrangian augmented with some holonomic constraints.
$$L' = L + \sum_i \lambda_i(t) f_i(q,t).\tag{i}$$
The solutions is the system of differential equations:
$$\frac{\partial …
- 225