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23 Nov 2019

I have a little structure that is built of identical blocks thatare 1.00 cm cubes. I have four solid cubes of these little cubes ina stack. The bottom cube has 4 little cubes on each side – 4 X 4 X4, and it is placed such that 3 of its adjacent edges are along theX-, Y-, and Z-axes. The cube above is 3 little cubes on each side.It is also placed such that 1 of its edges is along the Z-axis, andthe other 2 adjacent edges are parallel to the X- and Y-axes. Thecube above it is 2 little cubes on each side.
Again, one edge is along the Z-axis, with 2 adjacent edges parallelto the X- and Y-axes . And the very top cube is just a singlelittle cube. Again, one edge touches the Z-axis, and the 2 adjacentedges are parallel to the X- and Y-axes. You can see that thesmaller cubes are not centered over the largest cube, but all ofthe cubes are moved to one corner such that one edge of all thecubes is along (touches) the Z-axis.

calculate the center of mass of this shape
xcm = ?
ycm = ?
zcm = ?

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