Four particles, each of mass `1kg` are placed at the corners of a square of side `1m` in the `XY` plane. If the point of intersecting of the diagonals of the square is taken as the origin, the co-ordinates fo the centre of mass are

Options

A. `(1,1)`
B. `(-1,1)`
C. `(1,-1)`
D. `(0,0)`

Answer

D

Explanation

`x_(cm)=(m_(1)x_(1)+m_(2)x_(2))/(m_(1)+m_(2)), y_(cm)=(m_(1)y_(1)+m_(2)y_(2))/(m_(1)+m_(2))`