Rectangular coordinate system, internal

Internal batch mixers can sometimes be simplified to a system such as the one shown in Fig. 6.77. For h R, the system can be further simplified by unwrapping the material from the cylinder and modeling it using rectangular coordinates. 

In this expression, GIX and Ha are both 6x3 rectangular matrices whose elements are known functions of the internal hyperangles pA is a 3 x 1 column vector operator whose elements contain first derivatives with respect to the three q, coordinates and i1X is the 3 x 1 column vector operator whose elements are the components JIX, J,x, and JIX of the system s nuclear motion angular momentum operator J in the IX frame. From these properties, it can be shown that... 

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