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halo168
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A square of side 2 L is removed from one corner of a square sandwich that has sides of length L. The center of mass of the remainder of the sandwich moves from C to C’. The displacement of the y coordinate of the center of mass (from C to C’) is:
Homework Equations
xcm=Σmx/Σm
The Attempt at a Solution
M/4 = mass of the quarter of the main square that is off center
L/4 = distance off from center
3M/4= total mass of the new object
Xcm = (M/4)(L/4)/(3M/4)=(1/12)L
Ycm = (M/4)(L/4)/(3M/4)=(1/12)L
Therefore, the displacement is sqrt(2)/12 by Pythagorean Theorem. I'm not sure why L/4 = distance off from center (what point is L/4 off from the center and how is it found?), but it's the only one that works. Can someone please explain?
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