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 cut-off 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*oldmass-cmsquare*masssquare

now, doing it in each coordinate.

xcmnew*7.5=5*10-7.5*(10/4)=50-18.75=31.25

xcmnew=4.166

ycmnew*7.5=5*10-2.5*10/4

=50-6.25=43.75

ycmnew=5.833

check all that.

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