Find the position of centre of mass for a system of particles places at the vertices of a regular hexagon as shown in figure

Explanation

`x_(cm)=(Sigmam_(i)x_(i))/(Sigmam_(i))`
`=(mxx0+2mxx(a)/(2)+mxx(3a)/(2)+2mxx2a+mxx(3a)/(2)+2mxx(a)/(2))/(m+2m+m+2m+m+2m)`
`x_(cm)=a`
`y_(cm)(Sigmam_(i)y_(i))/(Sigmam_(i))`
`=(mxx0+2mxx(asqrt3)/(2)+mxx(asqrt3)/(2)+2mxx0+mxx((-asqrt3)/(2))+2mxx((-asqrt3)/(2)))/(9m)`
`y_(cm)=0`
`c.m : (a,0)`