Two bodies of masses 1kg and 2kg are lying in xy plane at (-1,2) and (2,4) respectively. What are the coordinates of the center of mass?

Explanation

Let the coordinates of the centre of mass be (x, y)
`x=(m_(1)x_(1)+m_(2)x_(2))/(m_(1)+m_(2))`
`= (1xx(-1)+2xx2)/(3)`
`= (-1+4)/(3)=1`
`y = (m_(1)y_(1)+m_(2)y_(2))/(m_(1)+m_(2))`
`= (1xx2+2xx4)/(3)`
`= (2+8)/(3)=(10)/(3)`
Therefore the coordinates of centre of mass be `(1,(10)/(3))`.