Question-132765

Question Number 132765 by Ahmed1hamouda last updated on 16/Feb/21

Answered by mr W last updated on 16/Feb/21

Commented by mr W last updated on 16/Feb/21

G (\frac{7 a}{4}, \frac{5 a}{4})

Answered by TheSupreme last updated on 16/Feb/21

{O G}_{1} = (a, 2 a)

{O G}_{2} = (2 a, a)

A_{1} = A_{2}

O G = \frac{ρ_{1} A_{1} (a \vec{i} + 2 a \vec{j}) + ρ_{2} A_{2} (2 a_{1} \vec{i} + a_{2} \vec{j})}{ρ_{1} A_{1} + ρ_{2} A_{2}}

O G = a (\frac{ρ_{1} + 2 ρ_{2}}{ρ_{1} + ρ_{2}}) \vec{i} + a (\frac{2 ρ_{1} + ρ_{2}}{ρ_{1} + ρ_{2}}) \vec{j}