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Moment Arm Sign From Axis Tool

Resolve the supplied planar force moment under an explicit normal-axis sign.

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Description

Return a signed planar moment under an axis-normal policy.

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 a signed planar moment under an axis-normal policy.

When to use this tool

Use Moment Arm Sign From Axis when evaluating the stated segment, moment, inertia or ideal muscle-geometry term.

How to use the tool and how it works

  1. Enter leverX, leverY, forceX, forceY, reverseNormal. 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 signedMoment. Use the output convention below.

Return a signed planar moment under an axis-normal policy. signedMoment = (leverX*forceY-leverY*forceX)*(reverseNormal ? -1 : 1).1

Input fieldMeaning and unitsAccepted input
leverXLever XRequired. Finite number.
leverYLever YRequired. Finite number.
forceXForce XRequired. Finite number.
forceYForce YRequired. Finite number.
reverseNormalReverse NormalRequired. Boolean.
Output fieldInterpretationReturned shape
signedMomentSigned MomentRequired. Finite number.
json
{
  "input": {
    "leverX": 2,
    "leverY": 0,
    "forceX": 0,
    "forceY": 3,
    "reverseNormal": false
  },
  "output": {
    "signedMoment": 6
  }
}

Limitations and assumptions

  • Lever and force vectors must share an origin/frame and compatible units; no anatomical axis or actual joint moment is inferred.
  • 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/moment-arm-sign-from-axis — tool.io

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