Question

if the lagrangian does not depend on time explicitly​

Answer 1

Answer:

If the generalized coordinates do not explicitly depend on time, then H = T + U = E, the total energy of the system. ... So only if Lagrangian does not explicitly depend on time and the generalized coordinates do not explicitly depend on time, then H = T + U = E and the energy is a constant of motion.

Explanation:

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Answer 2

Answer:

the Hamiltonian is constant

Explanation:

The Hamiltonian is constant of motion If the Lagrangian does not depend on time explicitly.

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