Four point masses are placed at four corners of a square of side 4...

Formulas: - x-coordinate of COM: (x=\Sigma(m i x i) / \Sigma(m i)) - $y$-coordinate of COM: (\bar{y}=\Sigma(m $\mathrm{i} \mathrm{yi})$/ \Sigma(m $\mathrm{i})$) Corner coordinates used above. A. x-coordinate of COM of 4 kg and 2 kg : - Masses at $(0,4)$ and ((4,0) → x^{-}=(4 $\cdot$0+2 $\cdot$4) /(4+2)=8 / 6=4 / 3 $\mathrm{~m}$). B. x-coordinate of COM of (4 $\mathrm{~kg},$2 $\mathrm{~kg}$), and 3 kg : - Positions: $(0,4),(4,0),(4,4)$ - (x^{-}=(4 $\cdot$0+2 $\cdot$4+3 $\cdot$4) /(4+2+3)=(0+8+12) / 9=20 / 9 $\mathrm{~m}$). C. y -coordinate of COM of (1 $\mathrm{~kg},$4 $\mathrm{~kg}$), and 3 kg : - Positions: $(0,0),(0,4),(4,4)$ - (y=(1.0+4.4+3.4) /(1+4+3)=(0+16+12) / 8=28 / 8=7 / 2 $\mathrm{~m}$). D. y -coordinate of COM of 1 kg and 3 kg : - Positions: $(0,0),(4,4)$ - (\bar{y}=(1.0+3.4) /(1+3)=12 / 4=3 $\mathrm{~m}$). Thus, matching to options set: - (p) (7 / 2 $\mathrm{~m}$), (q) (4 / 3 $\mathrm{~m}$), (r) 3 m, (s) 20/9 m.