Physics · Classical Mechanics
Select the INCORRECT statement regarding Lagrangian and Hamiltonian mechanics:
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- 1Action is defined as the time-integral of the Lagrangian.
- 2Hamilton's equation for the rate of change of generalized momentum is ṗ = -∂H/∂q.
- 3Hamilton's equation for the rate of change of generalized coordinate is q̇ = ∂H/∂p.
- 4If the Lagrangian L is an explicit function of time, the Hamiltonian is always equal to the total mechanical energy.✓
Correct answer
If the Lagrangian L is an explicit function of time, the Hamiltonian is always equal to the total mechanical energy.
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