Physics · Classical Mechanics
Consider a mechanical system whose position is described using the generalized coordinates q1, ..., qn. Let T(q1, ..., qn, q·1, ..., q·n) be the kinetic energy of the system. If the generalized force Qj (1 ≤ j ≤ n) acting on the system is zero, then the Lagrange equations of motion are given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1∂∂q·j(dTdt) - ∂T∂qj = 0
- 2∂∂q·j(dTdt) - 2∂T∂qj = 0
- 3ddt(∂T∂qj) - ∂T∂q·j = 0
- 4ddt(∂T∂q·j) - ∂T∂qj = 0✓
Correct answer
ddt(∂T∂q·j) - ∂T∂qj = 0
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