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Unformatted text preview: up with our explicit solution for radius: V (2 + ) 1 / 3 r = 2 This is exactly what you get if you use substitution to solve the problem, and in that case, we would put this r back into the constraint equation to solve for l (a little messy). But the Lagrange technique gives us more insight than this: if we use the rst and second of the three equations above, we can eliminate to nd that l = 2 r/ (2 + ) . This is a new property of the optimum solution, and we have simply 2 V (2 + ) 1 / 3 l = 2 + 2 If V = 100 m 3 , we nd r = 3 . 735 m and l = 4 . 564 m . MIT OpenCourseWare http://ocw.mit.edu 2.017J Design of Electromechanical Robotic Systems Fall 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms ....
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 Spring '05
 GeorgeKocur

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