Posted by marwan on Thursday, January 6, 2011 at 12:06pm.
Consider a square ABCD of side 10cm and total mass 10kg. Let O be the center of the sqaure. We cut a square of corners O and C.
Find the central mass of the obtained shape after removing the small cutten sqaure.

physics  drwls, Thursday, January 6, 2011 at 2:15pm
How big is the cutoff piece? You would need to that it most cases. (Not this time, however)
I think they want the Center of Mass, not the "Central Mass"  whatever that is.
You also probably meant "off corners A and C" instead of "of corners O and C". There IS no corner at O. Please be more precise with your problem copying.
In this case, because of the symmetry of removing opposite corners A and C, the center of mass will not move.

physics  bobpursley, Thursday, January 6, 2011 at 2:17pm
Lets do it the math way.
cmenw*massnew=cmold*oldmasscmsquare*masssquare
now, doing it in each coordinate.
xcmnew*7.5=5*107.5*(10/4)=5018.75=31.25
xcmnew=4.166
ycmnew*7.5=5*102.5*10/4
=506.25=43.75
ycmnew=5.833
check all that.
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