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Originally Posted by Greg McCoy
The center of gravity calculation is not accurate for parts/assemblies which have user-defined mass. It only works for parts which Inventor has calculated the mass from the volume of the object and density of the material. 
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One work around is to make the part to be the right size and shape, weigh it on an accurate scale, then compute density from the Volume provided. You can then make a new material for that part. I did it for the battery becuase all of the models I could find used the default material. I looked up the volume (file>iproperties>physical>volume) and wieghted the battery. Using my calculator I used d=m/v to find the density. I made a new material (format>material>new) and entered in the density I found (its in g/cm^3). I called it the battery material but kept the coloring that it already had on it.
PM if confused.