Centre of Mass Calculator
Finds the balance point of a set of point masses.
Centre of mass
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Share sends a link that reopens these numbers. Copy details pastes the full breakdown as a list.
x position —
y position —
Total mass —
The formula
x = Σ(m × x) ÷ Σm y = Σ(m × y) ÷ Σm
A weighted average of the positions, with each mass as the weight.
What to watch out for
Treat each uniform part as a point mass at its own centre. For a line of masses, leave every y at zero. Unused masses can stay at zero.
Frequently Asked Questions
What is the centre of mass of 2 kg at 0 m and 3 kg at 4 m?
2.4 m along the line, closer to the heavier mass.
Is it the same as the centre of gravity?
Yes, in uniform gravity, which covers anything of everyday size.