consider 4 masses mA=1kg, mB=2kg, mC=3kg, mD=4kg, placed at the vertices of a square ABCD of side 4cm. Specify the position of G the center of mass of the system{A,B,C,D}.

determine the position of G.
Thank you :)

1 answer

well it is easy.

consider CMx:

CMx*totalmass=mA*locationA+ massB*locationB+ ...

CMx*10kg=1kg*0+2kg*4cm+3kg*4cm+4kg*0
CMx= 20cm/10= 2cm

CMy*10kg= 1kg*0+2kg*0+ 3kg*4cm+4kg*4cm

Cmy= 2.8cm
check my work.
I located the square with A at the origin, B at 4,0, C at 4,4, and D at 0,4