Center of Gravity

Center of gravity of some common bodies

The center of gravity of a volume, area or line is the point at which if the body where suspended would be in balance.

For a symmetrical body of a uniform material the center of gravity would be in the geometric center.

Perimeter

center of gravity - 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

center of gravity - area

The center of gravity of a triangel is at the intersection of lines BE and AD. The distance a can be calculated as

a = h / 3         (2)

Parallelogram

center of gravity - parallelogram

The center of gravity of a parallelogram is at the intersection of the diagonals.

Trapezoid

center of gravity - 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

center of gravity of 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

  • Mechanics - Kinematics, forces, vectors, motion, momentum, energy and the dynamics of objects
  • Statics - Loads - force and torque

Related Documents

Tag Search

  • en: center gravity primeter area parallelogra
  • es: centro de gravedad ├írea primeter parallelogra
  • de: Zentrum der Schwerkraft primeter Bereich parallelogra

Search the Engineering ToolBox

- "Search is the most efficient way to navigate the Engineering ToolBox!"

Engineering ToolBox - SketchUp Edition - Online 3D modeling!

3D Engineering ToolBox - draw and model technical applications

Engineering ToolBox - SketchUp Edition - add standard and customized parametric components - like flange beams, lumbers, piping and more - to your SketchUp model - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro. Add from the Sketchup Extension Warehouse!

Translate the Engineering ToolBox!
About the Engineering ToolBox!

close