Show that Jσ_(ij)D_(ij)=T_(iL)F_(iL˙)=S(AB)E_(AB˙) [Hints: (a) to prove the first equation, use the relationship between F_(iL)˙ and L_(ij), and expand L_(ij) into symmetric and antisymmetric parts. Note the symmetry of σ_(ij).  (b) To prove the second equation, first express E_(AB)˙ using F_(iL), then take the time derivative. Substitute into the definition of S_(AB )in index form and simplify.]

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
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Show that Jσ_(ij)D_(ij)=T_(iL)F_(iL˙)=S(AB)E_(AB˙) [Hints: (a) to prove the first equation, use the relationship between F_(iL)˙ and L_(ij), and expand L_(ij) into symmetric and antisymmetric parts. Note the symmetry of σ_(ij).  (b) To prove the second equation, first express E_(AB)˙ using F_(iL), then take the time derivative. Substitute into the definition of S_(AB )in index form and simplify.]
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