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# 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

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

Loads - forces and torque, beams and columns.

## Related Documents

### Acceleration of Gravity and Newton's Second Law

Acceleration of gravity and Newton's Second Law - SI and Imperial units.

### Area Moment of Inertia - Typical Cross Sections I

Typical cross sections and their Area Moment of Inertia.

### Buoyancy

Buoyancy is the resultant force acting on a submerged body.

### Center Mass

Calculate position of center mass.

### Center of Gravity and Buoyancy

Stability - the center of gravity vs. the center of buoyancy.

### Force

Newton's third law - force vs. mass and acceleration.

### Hydrostatic Force acting on Submerged Surface

Calculate the thrust force acting on a submerged surface.

### Mass vs. Weight

Mass vs. weight - the Gravity Force.

### Pythagorean Theorem

Verifying square corners.

### Regular Polygons

Areas of regular polygons - polygons with 3 to 12 sides.

### Right Angled Triangle

Right angled triangle equations.

### Section Modulus - Unit Converter

Convert between Elastic Section Modulus units.

### Triangle

Triangle analytical geometry.

### Universal Gravitational Law

Gravitational attraction between two objects vs. mass of the objects and the distance between them.

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