Abstract
AbstractFifty years have passed since Truesdell's seminal paper on the origin and status of the balance for the moment of momentum was published in ZAMM. It is time to take stock: Important new developments in the theory of generalized continua with internal degrees of freedom and some fascinating fundamental applications need to be pointed out. Is there new evidence from classical papers regarding its independence from the balance of linear momentum? Can micropolar theory be used to “explain” electromagnetism? How is the conservation of the moment of momentum viewed in today's physics textbooks? In this paper an attempt is made to answer these and many more interesting questions.
Highlights
Truesdell’s analysis of the status of the balance for the moment of momentum culminates in radical conclusions:
The result (20)1 and the follow-up conclusions are the same. ◦ According to the nomenclature established in context with production terms we must conclude that the balances of moment of momentum according to Equation (20)1 or (21) are not conserved, even if we neglect all contributions from body forces and structural production terms
By the “independent notions” we mean that a distinction is made between total angular momentum x × v + s, which comprises the moment of momentum x × v, and the dynamic spin field s separately
Summary
More than 50 years ago Clifford A. In order to substantiate his claims Truesdell uses the monographs on theoretical physics by Joos (in English translation, [34]) and by Sommerfeld [63], two textbooks well known to physicists from the times of their educational training, even today He refers to Newton’s Principia and to Manuscript V of Newton’s miscellaneous essays, [21], as evidence that Newton did not really think in terms of moment of forces on extended bodies and could not even rudimentary grasp the importance of a dynamic law for the angular momentum. In what follows we seek to give answers based on (new) historic evidence and modern developments
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