Center of Gravity
The "center of gravity" for a volume, an area or a line - is the point at which the body - if suspended - would be in balance.
For a symmetrical body in a uniform material - the center of gravity would be in the geometric center.
Perimeter
The center of gravity is the center of the circle inscribed in triangle ABC (middle points of the sides of the triangle).
The distance d can be calculated as
d = h (b + c) / 2 (a + b + c) (1)
Triangle
The center of gravity of a triangle is at the intersection of lines BE and AD. The distance a can be calculated as
a = h / 3 (2)
Parallelogram
The center of gravity of a parallelogram is at the intersection of the diagonals.
Trapezoid
The center of gravity of a trapezoid can be estimated by dividing the trapezoid in two triangles. The center of gravity will be in the intersection between the middle line CD and the line between the triangles centers of gravity.
Two Bodies
The center of gravity of two bodies can be calculated as
b = Q a / (P + Q) (3a)
c = P a / (P + Q) (3b)
where
Q, P = weight or mass of the bodies (N, kg, lb, slugs)
Related Topics
• Mathematics
Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.
• Mechanics
The relationships between forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.
• Miscellaneous
Engineering related topics like Beaufort Wind Scale, CE-marking, drawing standards and more.
• Statics
Forces acting on bodies at rest under equilibrium conditions - loads, forces and torque, beams and columns.
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Acceleration of gravity and Newton's Second Law - SI and Imperial units.
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