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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?A. `(1, 10/3)`B. `(1, 0)`C. `(0, 1)`D. None of the above

Answer» Correct Answer - A
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)`


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