Physics · Classical Mechanics
Consider a particle moving on a real line whose dynamics is determined by the Hamiltonian H = q4 p22μ + λq2, where μ and λ are positive real constants. The Lagrangian (L) of the system is given by:
- 1L = μ q̇2q4 - λq2
- 2L = μ q̇22q4 - λq2✓
- 3L = μ q̇24q4 - λq2
- 4L = μ q̇24q4 + λq2
Correct answer
L = μ q̇22q4 - λq2
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