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# Here are the design parameters: You must submit density function p(x,y) , describing the density of = lamina on the square D = [0,1] x [0,1]. The total mass of the ...

## Question

###### Here are the design parameters: You must submit density function p(x,y) , describing the density of = lamina on the square D = [0,1] x [0,1]. The total mass of the lamina must be exactly 1. The function must be positive everywhere on the square_ The function must be continuous, but otherwise can have any form you like, provided that the total mass and moment of inertia can be calculated unambiguously by the machine_ Your submission will be judged by the distance 6 between the two moments of iner

Here are the design parameters: You must submit density function p(x,y) , describing the density of = lamina on the square D = [0,1] x [0,1]. The total mass of the lamina must be exactly 1. The function must be positive everywhere on the square_ The function must be continuous, but otherwise can have any form you like, provided that the total mass and moment of inertia can be calculated unambiguously by the machine_ Your submission will be judged by the distance 6 between the two moments of inertia, defined as 6 = Iy' where: Ilzp6xy)aa and Jx"ecx,y)aa The density function p should maximize Ix, and minimize This is not meant in the rigorous sense here, but rather you should strive to make Ix as large as possible while simultaneously making ly as small as possible, so that 6 is as large as possible:  #### Similar Solved Questions

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