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Find the center of mass(x,y,z) of the following structure of four identical cubes if the length of each side of a cube is 1 unit. A. (1/2,1/2,1/2B. (1/3,1/3,1/3)C. (3/4,3/4,3/4)D. (1/2,3/4,1/2)

Answer» Correct Answer - (C )
First we find the centre of mass of each cube. It is located by symmetry: `(0.5, 0.5, 0.5), (1.5, 0.5, 0.5), (0.5, 1.5, 0.5), (0.5, 0.5, 1.5)`. Now we find the centre of mass by treating the COM of each cube as a point particle:
`x_(COM) = (0.5 + 1.5 + 0.5 + 0.5)/(4) = 0.75 , y_(COM) = (0.5 + 0.5 + 1.5 + 0.5)/(4) = 0.75`
`z_(COM) = (0.5 + 0.5 + 0.5 + 1.5)/(4) = 0.75`


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