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Center Of Mass Two Point Coordinate Tool

Compute one coordinate of a two-point center of mass from nonnegative masses with positive finite total mass.

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Description

Return the mass-fraction-weighted sum of firstCoordinate and secondCoordinate.

Mechanics formulas relate forces, motion, energy, and geometry within a specified model. Signed coordinates and consistent units determine each component; a formula evaluation does not verify measured loads or the suitability of the physical model.

Return the mass-fraction-weighted sum of firstCoordinate and secondCoordinate.

When to use this tool

Use Center Of Mass Two Point Coordinate when you need one elementary mechanics component under an explicit coordinate and unit convention.

How to use the tool and how it works

  1. Enter firstMass, firstCoordinate, secondMass, secondCoordinate. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read coordinate. Use the output convention below.

Require nonnegative masses with positive finite total. Return the mass-fraction-weighted sum of firstCoordinate and secondCoordinate.1

Input fieldMeaning and unitsAccepted input
firstMassFirst MassRequired. Finite number; minimum 0.
firstCoordinateFirst CoordinateRequired. Finite number.
secondMassSecond MassRequired. Finite number; minimum 0.
secondCoordinateSecond CoordinateRequired. Finite number.
Output fieldInterpretationReturned shape
coordinateCoordinateRequired. Finite number.
json
{
  "input": {
    "firstMass": 2,
    "firstCoordinate": 0,
    "secondMass": 6,
    "secondCoordinate": 8
  },
  "output": {
    "coordinate": 6
  }
}

Limitations and assumptions

  • Use common mass and coordinate units; this is one-axis two-point center of mass without extended geometry, load stability, or measurement uncertainty.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Check the complete physical model and consult a qualified professional when the result informs equipment or structural safety.

References

  1. Calculation and input contract: physics/center-of-mass-two-point-coordinate — tool.io

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