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Consider a square of mass 4 kg, side 2m, negligible thickness, with its sides oriented along the usual axes with its center at (0, 0). (i) Determine its CM using symmetry arguments. (ii) Imagine that the 1m × 1m part of it in the fourth quadrant is chopped off. Where is the new CM? Do this using the extension of result in previous problem. Repeat using the following trick: view the chopped off shape as the full square plus a 1m × 1m square of negative mass -1kg in the fourth quadrant. (iii) A disk of radius R centered at the origin has a circular hole of radius R/2 centered at (x = -R/2, y = 0). Where is its CM?
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