IEC 60050 - International Electrotechnical Vocabulary


IEVref:	113-03-77		ID:
Language:	en		Status: Standard

Term:	generalized momentum
Synonym1:
Synonym2:
Synonym3:
Symbol:	p_i
Definition:	partial derivative of Lagrange function L with respect of generalized velocity ${\dot{q}}_{i}$ , thus $p_{i} = \frac{\partial L}{\partial {\dot{q}}_{i}}$ NOTE The unit depends on the type of representation of the system.
Publication date:	2011-04
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Internal notes:	2014-07-10: Symbol <i>p</i><sub><i>i</sub> corrected to <i>p</i><sub><i>i</i></sub>. JGO 2017-06-02: Cleanup - Remove Attached Image 113-03-77en.gif
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L q ˙ i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiqadghagaGaamaaBa aaleaacaWGPbaabeaaaaa@3AE6@ p i = ∂L ∂ q ˙ i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadchadaWgaaWcba GaamyAaaqabaGccqGH9aqpdaWcaaqaaiabgkGi2kaadYeaaeaacqGH ciITceWGXbGbaiaadaWgaaWcbaGaamyAaaqabaaaaaaa@41B2@ NOTE The unit depends on the type of representation of the system.