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Centre of Gravity Calculator

This calculator helps you determine the centre of gravity of a triangle and the centre of gravity between two masses.
The centre of gravity refers to the point in a body, like a volume, area or line, that would be in balance if it were suspended. In a symmetrical body of a uniform material, the centre of gravity is the geometric centre (also known as the centroid).

Calculation

1. Triangle Side Lengths

This function calculates the centre of gravity of a body given the three side lengths of a triangle.
Where all three medians meet at a single point (concurrent), is known as the centroid of a triangle. A centroid is also known as the centre of gravity.
Inputs


a
:10.00m​



b
:15.00m​



c
:20.00m​

Output


h
:14.52m​



Centroid, x
:2.08m​



Centroid, y
:4.84m​



Status
:Triangle side lengths are valid​

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2. Triangle Height

A simpler calculator to obtain the centre of gravity of a triangle is by using its height directly.
Input


h (1)
:30.00m​

Output


d
:10.00meter​







3. Two Bodies

This function calculates the centre of gravity of two separate bodies, as a function of the masses and the distance between the centre of the bodies.
Inputs


Q
:100.00g​



P
:150.00g​



a (1)
:50.00m​

Outputs


b (1)
:20.00m​



c (1)
:30.00m​










Related Resources

  1. Centre of Mass Calculator
  1. Moment of Inertia Calculators
  1. Orbital Mechanics Calculator
  2. Radius of Gyration In Structural Engineering
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