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Force Plate Free Moment Normal Component Tool

Right-handed contact-plane wrench decomposition Tz=Mz-(x*Fy-y*Fx), using COP coordinates in the same frame as moments.

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Description

Return force-plate orbital and free normal moments.

Mechanical inertia, torque and muscle-force projections require compatible axes, origins and geometric assumptions. A parallel-axis contribution, planar moment or ideal pennation factor is one local model term rather than a full anatomical load or muscle-activation calculation.

Return force-plate orbital and free normal moments.

When to use this tool

Use Force Plate Free Moment Normal Component when evaluating the stated segment, moment, inertia or ideal muscle-geometry term.

How to use the tool and how it works

  1. Enter momentZ, centerX, centerY, forceX, forceY. 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 orbitalMoment, freeMoment. Use the output convention below.

Return force-plate orbital and free normal moments. orbitalMoment = centerX*forceY-centerY*forceX, freeMoment = momentZ-orbitalMoment.1

Input fieldMeaning and unitsAccepted input
momentZMoment ZRequired. Finite number.
centerXCenter XRequired. Finite number.
centerYCenter YRequired. Finite number.
forceXForce XRequired. Finite number.
forceYForce YRequired. Finite number.
Output fieldInterpretationReturned shape
orbitalMomentOrbital MomentRequired. Finite number.
freeMomentFree MomentRequired. Finite number.
json
{
  "input": {
    "momentZ": 10,
    "centerX": 1,
    "centerY": 2,
    "forceX": 3,
    "forceY": 4
  },
  "output": {
    "orbitalMoment": -2,
    "freeMoment": 12
  }
}

Limitations and assumptions

  • All forces, positions and moments must share a consistent origin/frame; no calibration or full wrench transformation is performed.
  • 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

Use verified anatomy and calibration, a consistent coordinate frame and a complete appropriate mechanical model for actual loading or clinical interpretation.

References

  1. Calculation and input contract: biomechanics/force-plate-free-moment-normal-component — tool.io

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