Un niño de 24 kilogramos se sienta en el punto ap(2,5) y otro de 12kg en el punto bp(8.12) hallar punto de equilibrio

the equilibrium point or center of mass is (4, 7.33)

Explanation:

1) Physicial principles:

The equilibrium point is the center of mass.Call Xc and Yc the coordinates of the center of mass (Xc, Yc), then:Xc is given by the equation Xc = (m₁X₁ + m₂X₂) / (m₁ + m₂)Yx is given by the equation Yc = (m₁Y₁ + m₂Y₂) / (m₁ + m₂)

2) Data:

m₁ = 24 kgX₁ = 2Y₁ = 5m₂ = 12 kgX₂ = 8Y₂ = 12

3) Solution:

Xc = (m₁X₁ + m₂X₂) / (m₁ + m₂) = (24×2 + 12×8) / (24 + 12) = 4Yc = (m₁Y₁ + m₂Y₂) / (m₁ + m₂) = (24×5 + 12×12) / (24 + 12) = 7.33

the equilibrium point or center of mass is (4, 7.33)