Susan is a high-school administrator. She is required to make a presentation about school hygiene issues and the actions expecte
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The center of gravity for the three-objects system is approximately located
at their center of mass.
- The center of gravity of the three-object system is approximately (2.58, 4.75)
Reasons:
The coordinates of the vertices of the objects and their masses are;
The rod:
Vertices, (2, 7), and (9, 7)
Mass, m₁ = 6.00 kg.
The right triangle;
Vertices; (4, 1), (8, 5), (8, 1)
Mass, m₂ = 3.00 kg.
The square
Vertices; (-5, 5), (-2, 5), (-2, 2), (-5, 2)
Mass, m₃ = 5.00 kg
Required;
The center of gravity for the three-object system.
Solution:
The center of gravity is given by the formula;
Where;
= The x-coordinates of the center of the rod = 5.5
= The x-coordinate of the centroid of the triangle
= The x-coordinate of the centroid of the square = (-5 - (-2)) ÷ 2 - 2 = -3.5
= The y-coordinate of the center of the rod = 7
= The y-coordinate of the centroid of the triangle
= The y-coordinate of the centroid of the square = 3.5
Therefore;
The center of gravity for the three-object system is (,
) ≈ (2.58, 4.75)
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