Center of gravity optimization

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Will
Will 2011-9-18
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
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
Will 2011-9-18
Also with my application, the weight could not be stacked.

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Walter Roberson
Walter Roberson 2011-9-18
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
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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