query: How to explain Newton's second law using Lagrange's equation?
positive_passages.docid: 7149
positive_passages.text: Calculus of variations -- how does it make sense to vary the position and the velocity independently?
negative_passages.docid: 91612
negative_passages.text: Force inversely proportional to the squared distance
negative_passages.docid: 67845
negative_passages.text: How was the torque-force relationship discovered
negative_passages.docid: 12924
negative_passages.text: How to derive Maxwell's equations from the electromagnetic Lagrangian?
negative_passages.docid: 61142
negative_passages.text: Is there any physics that cannot be expressed in terms of Lagrange equations?
negative_passages.docid: 107478
negative_passages.text: Equation of motion of a free particle
negative_passages.docid: 38615
negative_passages.text: How do you prove the second law of thermodynamics from statistical mechanics?
negative_passages.docid: 152809
negative_passages.text: A question concerning the Galilean invariance of Newton's laws
negative_passages.docid: 68906
negative_passages.text: Do the same equations of motion imply the same Lagrangians?
negative_passages.docid: 151857
negative_passages.text: Explain the equation
negative_passages.docid: 51294
negative_passages.text: Derivation of Euler's equations for rigid body rotation
negative_passages.docid: 101257
negative_passages.text: Intuitive understanding of centripetal vs. centrifugal force
negative_passages.docid: 120538
negative_passages.text: Newton's First Law of Motion; Empirical Aspects
negative_passages.docid: 100788
negative_passages.text: Proving Newton's identities
negative_passages.docid: 27637
negative_passages.text: How can I apply Newton's sums to solve this problem?
negative_passages.docid: 114672
negative_passages.text: Why do we use the Lagrangian and Hamiltonian instead of other related functions?
negative_passages.docid: 3603
negative_passages.text: Lagrangian and Hamiltonian EOM with dissipative force