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IEVref: | 113-03-76 | ID: | |

Language: | en | Status: Standard | |

Term: | Lagrange function | ||

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Symbol: | L
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Definition: | difference of kinetic energy $T({q}_{i},\text{}{\dot{q}}_{i})$ and potential energy V(q_{i}), where q is a generalized coordinate and ${\dot{q}}_{i}$ is a generalized velocity, thus $L({q}_{i},\text{}{\dot{q}}_{i})=T({q}_{i},\text{}{\dot{q}}_{i})-V({q}_{i})$_{i}NOTE 1 The potential energy NOTE 2 The coherent SI unit of Lagrange function is joule, J. | ||

Publication date: | 2011-04 | ||

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Internal notes: | 2017-06-02: Cleanup - Remove Attached Image 113-03-76en.gif | ||

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NOTE 1 The potential energy *V*(*q*_{i}) can be generalized to dynamic potential $V({q}_{i}\text{,}{\dot{q}}_{i})$.

NOTE 2 The coherent SI unit of Lagrange function is joule, J.