Z coordinate of the center of gravity

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Hey,

for this problem i need to find the z coordinate of the center of gravity. I have a cylinder/disk whose height is along the y-axis and radiates about the x and z axis. what is the equation to find z bar. this is just one part of the problem.




 
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Perhaps I don't understand your question, but the center of mass of a uniform cylinder is right in the middle.
 
yeah i get that much, but for this problem it wants me to find the z coordinate for the center of gravity. and the cylinder is oriented 105 mm in the z direction, with a height of 10 mm going in the y direction.

Here is a pic that hopefully gives some clarification. I apologize for the crudity of it, I made it on paint.

http://img513.imageshack.us/my.php?image=cylindervk2.png
 
hmm...my image didn't show last post.

hmm...thinking about it, would the z coordinate just be 105mm?
http://img513.imageshack.us/my.php?image=cylindervk2.png
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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