Monday, April 2, 2018

classical mechanics - How the definition of work is derived from Noether theorem?


I cite the following phrases from an answer to the Phys.SE question Why does a force not do any work if it's perpendicular to the motion?




...an alternative would be to treat the work-energy theorem Wnet=ΔT, (with T the kinetic energy) as an expected behavior (because it is integral in building the conservation law from Newtonian principles and the conservation principle is so useful) and use that to deduce the form that work must take and thus show the reason for the scalar product....At a higher level of sophistication one would employ Noether's theorem as a postulate and work from there.



How the definition of work is related to the theorem of Noether?


Any link, comment or answer, no matter the level of mathematical abstraction, would be welcome.




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classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

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