Four particles of masses 1 kg, 2 kg, 3 kg and 4 kg are placed at the four vertices A, B, C and Dof the square of side 1 m. Find the position of centre of mass of the particles.

Four particles of masses 1 kg, 2 kg, 3 kg and 4 kg are placed at the f

1.	Four particles of masses 1 kg, 2 kg, 3 kg and 4 kg are placed at the four vertices A, B, C and Dof the square of side 1 m. Find the position of centre of mass of the particles.
Answer» Solution :Assuming A as the ORIGIN, AB as x-axis and AD as y-axis we have Co-ordinates of their CM are `x_(CM)=(m_(1)x_(1)+m_(2)x_(2)+m_(3)x_(3)+m_(4)x_(4))/(m_(1)+m_(2)+m_(3)+m_(4))` `=(1(0)+2(1)+3(1)+4(0))/(1+2+3+4)=0.7m` `:.` Co-ordinates of centre of mass `(x_(CM),y_(CM))=(0.5m.0.7m)`