Masspoint

A little order for an uneven layout

Where does the mass meet?

Enter each item's mass and its centre position. Find the combined x/y mass centre, inspect the weighted sums, and keep a clear report of your model.

Free · works in your browser · one planar calculation

Describe your points

Use one common origin. Each row is mass, x, y. Set every y to 0 for a line layout.

Up to 30 rows. Positive masses; signed coordinates. Decimals up to 12 places or simple fractions such as 1/3. Blank lines are ignored. No headings or thousands separators.

Changing units converts every entered value exactly; repeating conversions may use fractions. Physical bounds: each mass 0.000000001–1,000,000,000,000 g; each coordinate within ±1,000,000,000 mm.

Your combined point

One coordinate system, one weighted point

The example combines 100 g at (0, 0), 200 g at (300, 0), and 100 g at (0, 240), all in millimetres. Total mass is 400 g, so the calculated centre is (150, 60) mm. A heavier point contributes more to that position.

Each row stands for a point mass at the item's own mass centre. Include the mass of any frame, board, fasteners or other item you want in the model. This tool does not derive an object's internal mass distribution, support loads or stability. Read the worked examples and assumptions.