three identical particles lie in x y plane. The (x, y) coordinates of their positions are (3, 2), (1.1) and (5.3), respectively. The (x, y) coordinates of the centre of mass are

Options

A. (1,2)
B. (a,b)
C. (3,2)
D. (2,1)

Answer

C

Explanation

The X and Y coordinates of the centre of mass are
`X=(m_(1)X_(1)+m_(2)X_(2)+m_(3)X_(3))/(m_(1)+m_(2)+m_(3))=(1)/(3)(X_(1)+X_(2)+X_(3))=(1)/(3)(3+1+5)=3`
`Y=(1)/(3)(2+1+3)=2`