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IEVref:113-03-12ID:
Language:enStatus: Standard
Term: centre of mass
Synonym1: centre of gravity (deprecated)
[Preferred]
Synonym2:
Synonym3:
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Definition: for a continuous body in a domain D, with mass density ρ(r), point with position vector r G = D rρdV D ρdV MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahkhadaWgaaWcba qcLbqacaqGhbaaleqaaOGaeyypa0ZaaSaaaeaadaWdraqaaiaahkha cqaHbpGCjugqbiaacsgakiaadAfaaSqaaKqzaeGaaeiraaWcbeqdcq GHRiI8aaGcbaWaa8qeaeaacqaHbpGCjugqbiaacsgakiaadAfaaSqa aKqzaeGaaeiraaWcbeqdcqGHRiI8aaaaaaa@4C6B@

NOTE 1 For a system of particles with masses mi and position vectors ri, the centre of mass is the point with position vector r G = i m i r i i m i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahkhadaWgaaWcba qcLbmacaqGhbaaleqaaOGaeyypa0ZaaSaaaeaadaaeqaqaaiaad2ga daWgaaWcbaGaamyAaaqabaGccaWHYbWaaSbaaSqaaiaahMgaaeqaaa qaaiaadMgaaeqaniabggHiLdaakeaadaaeqaqaaiaad2gadaWgaaWc baGaamyAaaqabaaabaGaamyAaaqab0GaeyyeIuoaaaaaaa@48E8@ .

NOTE 2 In non-relativistic physics, the centre of mass doesn’t depend on the chosen reference frame.


Publication date:2011-04
Source:
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Internal notes:2017-06-02: Cleanup - Remove Attached Image 113-03-12en.gif
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