Home Developers Evidence mechanical.statics.incline_least_pull

Public evidence

mechanical.statics.incline_least_pull

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

Open calculator API Capability Download JSON MCP Review policy

Verification

7/7 calculation tests · Production surface contract 6/6

  • Golden tests 3 / 3
  • Boundary tests 4 / 4
  • Property tests 0 / 0
  • Production surface contract 6 / 6
    • }
  • Engine tested Yes
  • Source checked Yes
  • Artifact integrity PASS
  • Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status STALE (6 capabilities; 189 remain CURRENT) @ 2026-09-23T14:00:05.385Z
  • Semantic contract PASS
  • Evidence attested at 2026-09-23T02:27:54.588Z
  • Last production check 2026-09-23T02:27:54.588Z
  • Public / cache —
  • Origin —
  • Supplemental domain review Not performed
  • Named expert review Not performed
  • release artifacts aligned PASS
  • schema output required declared PASS
  • schema valid input executes PASS
  • engine success output validates schema PASS
  • schema rejects incomplete input PASS
  • rest success payload validates schema PASS

Fingerprint sha256:bc7586251cd0d95d576ee050a65e0e52a3bdf43d7b7b5c631fc7e01523dac356

Input schema sha256:79b6a03b3e78bccf40eadc7e9527a66a7765516f52cb6e472defc199dcdc4cf1 · Output schema sha256:983b886959607a304cf732a85dc1e1c2e1be084cf35ddd00a6c68e318278f9ab · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool
incline-least-pull
Engine
incline-least-pull
Engine build
2026-09-23
Evidence core
2026-09-23T13:33:31.522Z
Rendered
2026-09-23T14:21:08.541Z
Last reviewed
—

Limitations

  • The pull is β = arctan μ above the incline, so α = θ + β above the horizontal
  • P = W (sinθ + μ cosθ) / √(1+μ²)
  • N = W (cosθ − μ sinθ) / (1+μ²)
  • Not a prescribed angle, tipping, a wedge, a screw, or a belt

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Published checks

Golden, boundary, and property cases included in this evidence build.

IDKindStatusDetail
golden-levelgoldenpassExpected P=70.71067811865476 · N=50 · F=-50 · alpha_deg=45 · beta_deg=45 · model=incline_least_pull · Actual model=incline_least_pull · W=100 · theta_deg=0 · mu=1 · beta_deg=45 · alpha_deg=45 · P=70.7106781187 · N=50
golden-three-quartergoldenpassExpected P=60 · N=64 · F=-48 · alpha_deg=36.86989764584402 · Actual model=incline_least_pull · W=100 · theta_deg=0 · mu=0.75 · beta_deg=36.86989764584402 · alpha_deg=36.86989764584402 · P=60 · N=64
golden-smoothgoldenpassExpected P=50 · N=86.60254037844386 · F=0 · alpha_deg=30 · beta_deg=0 · Actual model=incline_least_pull · W=100 · theta_deg=30 · mu=0 · beta_deg=0 · alpha_deg=30 · P=50 · N=86.6025403784
boundary-weightboundarypassExpected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
boundary-muboundarypassExpected VALUE_OUT_OF_RANGE · Actual VALUE_OUT_OF_RANGE
boundary-steepboundarypassExpected INVALID_INPUT · Actual INVALID_INPUT
boundary-missingboundarypassExpected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT