proposition 21.41 Time derivative of the Jacobi integral

open in the book · parts/03-classical-mechanics/04-lagrangian-mechanics.tex:1096 · p. 788

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proposition 21.41: Time derivative of the Jacobi integral21.41equation 21.46: eq:lag-energy-h21.46equation 21.45: eq:lag-jacobi-integral21.45equation 21.38: eq:lag-lagrange-equations21.38proof : ch:04-lagrangian-mechanics@proof-10prooftheorem 21.43: Conservation of energy21.43proposition 21.38: Energy in generalized coordinates21.38remark 22.8: Non-conservative forces22.8theorem 21.46: Hamilton's principle21.46theorem 21.53: Equations of motion of a nonholonomic system21.53

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depends_on eq:lag-energy-h declared parts/03-classical-mechanics/04-lagrangian-mechanics.tex:1111
depends_on eq:lag-jacobi-integral declared parts/03-classical-mechanics/04-lagrangian-mechanics.tex:1111
depends_on eq:lag-lagrange-equations declared parts/03-classical-mechanics/04-lagrangian-mechanics.tex:1111
proves ch:04-lagrangian-mechanics@proof-10 declared parts/03-classical-mechanics/04-lagrangian-mechanics.tex:1115