A system consists of three particles, each of mass mand, located at(1, 1), (2, 2) and (3,3). The co-ordinates of the centre of mass are

Options

A. (1,1)
B. (2,2)
C. (3,3)
D. (6,6)

Answer

B

Explanation

The coordinates of CM of three particles are
`x=(m_1x_1+m_2x_2+m_3x_3)/(m_1+m_2+m_3)and y=(m_1y_1+m_2y_2+m_3y_3)/(m_1+m_2+m_3)`
here, `m_1 =m_2 =m_3=m`
So `x=((x_1+x_2+x_3))/(3m)=2 and y=((y_1+y_2+y_3))/(3m)=2`