A system consists of 3 particles each of mass m located at points (1,1) (2,2) and (3,3) . The coordinates of the centre of mass are

Options

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

Answer

D

Explanation

IF 3 masses are equal ie,
`m_1=m_2=m_3`
then coordinate of the centre of mass
`(x,y)= [(m_1x_1+m_2x_2+m_3x_3)/(m_1+m_2+m_3), (m_1y_1+m_2y_2+m_3y_3)/(m_1+m_2+m_3)]`
`=[(m+2m+3)/(3m),(m+2m+3m)/(3m)]`
`[(6m)/(3m), (6m)/(3m)]`
`=[2,2]`