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?

Options

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

Answer

A

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)`