Question

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

Answer 1

Answer: 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 kg
• X₁ = 2
• Y₁ = 5
• m₂ = 12 kg
• X₂ = 8
• Y₂ = 12

3) Solution:

• Xc = (m₁X₁ + m₂X₂) / (m₁ + m₂) = (24×2 + 12×8) / (24 + 12) = 4

• Yc = (m₁Y₁ + m₂Y₂) / (m₁ + m₂) = (24×5 + 12×12) / (24 + 12) = 7.33

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