Center of Gravity

Calculate the center of gravity for various shapes including triangles, parallelograms, trapezoids, and systems of two bodies.

Center of Gravity Calculator

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.

Triangle: a = h / 3

Perimeter: d = h (b + c) / 2 (a + b + c)

Two Bodies:

Calculator

Shape Type

Height (h) (m)

Distance (a) (m)

Side b (m)

Side c (m)

Mass/Weight P (kg)

Mass/Weight Q (kg)

Triangle Center of Gravity (a)-- m

Perimeter Center of Gravity (d)-- m

Two Bodies Distance b-- m

Two Bodies Distance c-- m

Shape Type	Formula	Result	Unit
Triangle	a = h / 3	inputs.h / 3	m
Perimeter	d = h(b+c)/2(a+b+c)	inputs.h * (inputs.b + inputs.c) / (2 * (inputs.a + inputs.b + inputs.c))	m
Two Bodies - Distance b	b = Q·a / (P+Q)	inputs.Q * inputs.a / (inputs.P + inputs.Q)	m
Two Bodies - Distance c	c = P·a / (P+Q)	inputs.P * inputs.a / (inputs.P + inputs.Q)	m