If L is a Lagrangian for a system of n degrees of freedom satisfying Lagrange’s equations, show by direct substitution that L' = L + (dF(q1, ..., qn, t)/dt) also satisfies Lagrange’s equations where F is any arbitrary, but differentiable, function of its arguments.
If L is a Lagrangian for a system of n degrees of freedom satisfying Lagrange’s equations, show by direct substitution that L' = L + (dF(q1, ..., qn, t)/dt) also satisfies Lagrange’s equations where F is any arbitrary, but differentiable, function of its arguments.
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If L is a Lagrangian for a system of n degrees of freedom satisfying Lagrange’s equations, show by direct substitution that
L' = L + (dF(q1, ..., qn, t)/dt)
also satisfies Lagrange’s equations where F is any arbitrary, but differentiable, function of its arguments.
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