?A simple expression for \(M^{E}\) of a symmetrical binary system is \(M^{E}=A x_{1}

Chapter 10, Problem 10.39

(choose chapter or problem)

A simple expression for \(M^{E}\) of a symmetrical binary system is \(M^{E}=A x_{1} x_{2}\). However, countless other empirical expressions can be proposed which exhibit symmetry. How suitable would the two following expressions be for general application?

(a) \(M^{E}=A x_{1}^{2} x_{2}^{2}\) ;

(b) \(M^{E}=A \sin \left(\pi x_{1}\right)\)

       Suggestion: Look at the implied partial properties \(\bar{M}_{1}^{E} \text { and } \bar{M}_{2}^{E}\).

Text Transcription:

M^E

M^E=Ax_1x_2

M^E=Ax_1^2x_2^2

M^E=A sin (pi x_1)

barM_1^E and barM_2^E

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