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As we know for bodies having continuous distribution of mass we can know their center of mass by the method of integration...

like, Xcm = 1/M∫x.dm

but what is x here?

in many cases...

like in finding the COM of a ring

Xcm = 0 and Ycm = 2r/∏ (ofcouse when the center is taken on the mid point of diameter)

but on finding the COM of a semi-circular disc or plate...

we can assume it to be formed with different rings...

finally in the formula Ycm = 1/M∫y.dm we set y = 2r/pi ....

so i just can't understand what this 'y' is... and how do we decide it in different cases...

i think you can get what i want to ask actually...

and please help me... i m new to this site...

rahul :)