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Four particles of masses 1 kg, 2 kg, 3 k...

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

Text Solution

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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)`
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