Center of gravity optimization

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Will 2011-9-18

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https://ww2.mathworks.cn/matlabcentral/answers/16066-center-of-gravity-optimization

What would be the most efficient way to take in several weights, then have MATLAB optimize the position of each weight to meet a correct center of gravity?

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Will 2011-9-18

Sorry I suppose that was too vague.

Lets say there is a plank of wood with negligible weight that has length x. I want the center of gravity to be located at x/2. The program would then optimize the locations of each weight to give the center of gravity as x/2.

Will 2011-9-18

Also with my application, the weight could not be stacked.

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Answer 1

Walter Roberson 2011-9-18

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https://ww2.mathworks.cn/matlabcentral/answers/16066-center-of-gravity-optimization#answer_21763

Is it required to use all weights? If not then put the lighter weight at the end of the plank, and put the heavier weight proportionally in at distance L2 = w1/w2 * x/2 from the center

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Will 2011-9-18

It will be required to use all of the weights. I was just using the plank of wood as an example.

The real application is for determining the placement of boards into a stack of a CubeSat pico-satellite. The center of gravity of the satellite has to be within 2 cm of its geometric center. The boards already have their mass centered, so the only parameter to look at is the position of the boards in the stack.

I can do most of the basics of MATLAB, but had no clue where to start for doing an optimization like this.

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