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Center of Mass Calculator

Add point masses with x and y coordinates to calculate total mass and the mass-weighted center coordinates.

r̄ = Σmᵢrᵢ / Σmᵢ
Total mass
Center x
Center y
Point masses

Point-mass model. Coordinates may use any consistent length unit; the center is returned in that same unit.

Connected mechanics workflow

v10.88 connects translational motion, forces, momentum, energy, rotation, gravitation, waves and oscillation while preserving the established v2.3/v4.4/v10.38 physics engines.

State the model before trusting the number

Classical formulas are only as good as their assumptions and units. Air resistance, damping, deformation, non-constant forces and measurement uncertainty are not silently invented when the selected model does not include them.

How to use this Center of Mass Calculator

Calculate the 2D center of mass of multiple point masses.

  1. Enter, paste, upload, or choose the inputs shown in the tool above.
  2. Adjust the available options for the result you need.
  3. Review the output before copying, downloading, or using it elsewhere.

What this tool does

Add point masses with x and y coordinates to calculate total mass and the mass-weighted center coordinates.

Practical tips and limits

Review the inputs and result before using the output elsewhere. Keep the original data when the operation changes or replaces content.

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