Three particles of masses 2 Kg and 4Kg are placed at ( 2,0) , (0,3) and ( -1,2) respectively find the co-ordinates of centre of mass of these three point masses .

Explanation

IF the corrdintion of centre of mass are `( x _ ( cm ) , y_(cm ) , `
` x _(cm ) = ( m _(1) x _(1) + m _(2) x_(2) + m_(3) x _(3) ) ( m_(1) + m_(2) + M_(3) )`
`=( 2 xx 2 + 3 xx 0 + 4 x (-1))/( 2+3+4) =0`
`(m_(1) y_(1) +m_(2) y_(2) +m_(3) y_(3) ) /( m_(1) +m_(2) +m_(3))`
`= ( 2xx 0 + 3 xx3 + 4 xx 2 ) /( 2 + 3 + 4) =(17 )/( 9) `
` therefore ` the coordinates of centre of mass are `( 0 , (17)/(9))`