Handy Orchard

Freight mass centroid worksheet

Find the combined centre of mass from item weights and centre positions, with an X/Y illustration.

Your input

Masses and centre positions

Outputs are cleared when the input changes.

Result

Enter your data or use the example, then run the tool.

Worked example

10 kg at X=0 and 30 kg at X=2 gives centre X=1.5; shifting both positions by +5 shifts the centre by +5.

Method

Use one origin and unit for all positions. For each axis, multiply every item’s mass by its coordinate, add those values and divide by total mass. Include the packaging as another item if it contributes weight.

Limits

Each item is treated as mass concentrated at its entered centre, and total mass must be positive. This does not assess stacking stability, lifting, forklifts, axle loads or transport compliance. The diagram shows the X/Y plane only.

Sources

Weighted centre reference: NASA

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