query: Can these different Lagrangians lead to the same equation of motions?
positive_passages.docid: 112073
positive_passages.text: What does a Lagrangian of the form $L=m^2\dot x^4 +U(x)\dot x^2 -W(x)$ represent?
negative_passages.docid: 17121
negative_passages.text: Kinetic energy with respect to different reference frames
negative_passages.docid: 64727
negative_passages.text: Total time derivatives and partial coordinate derivatives in classical mechanics
negative_passages.docid: 111611
negative_passages.text: When can we add a total time derivative of $f(q, \dot{q}, t)$ to a Lagrangian?
negative_passages.docid: 3603
negative_passages.text: Lagrangian and Hamiltonian EOM with dissipative force
negative_passages.docid: 44595
negative_passages.text: Derivation of Newton-Euler equations
negative_passages.docid: 51294
negative_passages.text: Derivation of Euler's equations for rigid body rotation
negative_passages.docid: 88525
negative_passages.text: Action and Action integral: Different kinds of variational principles
negative_passages.docid: 4421
negative_passages.text: Proof that total derivative is the only function that can be added to Lagrangian without changing the EOM
negative_passages.docid: 158717
negative_passages.text: Why do we prefer "Lagrangian and Hamiltonian mechanics " over the newtonian mechanics?
negative_passages.docid: 30992
negative_passages.text: How do you determine the Lagrangian?
negative_passages.docid: 152997
negative_passages.text: Is there a kind of Noether's theorem for the Hamiltonian formalism?
negative_passages.docid: 131016
negative_passages.text: Question about Klein-Gordon field Lagrangian
negative_passages.docid: 13644
negative_passages.text: Is the change in the Lagrangian always a total derivative for symmetry transformations of the action?
negative_passages.docid: 54857
negative_passages.text: The wave equation in general relativity, special relativity, and Cartesian coordinates
negative_passages.docid: 23027
negative_passages.text: Deriving equations of motion using integration
negative_passages.docid: 82166
negative_passages.text: How are constraint forces represented in Lagrangian mechanics?