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Public evidence

mechanical.statics.incline_friction

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

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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  • Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status STALE (3 capabilities; 189 remain CURRENT) @ 2026-09-23T10:40:38.140Z
  • 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 sha256:8bfe172be8bdbba5155752742a366cc3fd78380049298fb0aadf68071e9b0a0f

Input schema sha256:c9a87a5014dd69c3244ed88cb3a8e471a38068020f37be20589598ac6a68ab7d · Output schema sha256:aaf5c4178077326ee390b5644ba15279cea0f946114a76f28a9bde402c12df00 · 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-friction
Engine
incline-friction
Engine build
2026-09-23
Evidence core
2026-09-23T10:34:21.178Z
Rendered
2026-09-23T10:57:00.183Z
Last reviewed
—

Limitations

  • P is parallel to the plane and positive up the plane
  • F is positive up the plane and opposes the impending motion
  • μ is the coefficient at impending slip
  • Not wedges, screws, belts, tipping, or kinetic friction as a separate coefficient

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-upgoldenpassExpected P=25 · N=100 · F=-25 · direction=up · model=incline_friction · Actual model=incline_friction · W=100 · theta_deg=0 · mu=0.25 · direction=up · P=25 · N=100 · F=-25
golden-downgoldenpassExpected P=-25 · N=100 · F=25 · direction=down · Actual model=incline_friction · W=100 · theta_deg=0 · mu=0.25 · direction=down · P=-25 · N=100 · F=25
golden-inclinegoldenpassExpected P=50 · F=0 · N=86.60254037844386 · Actual model=incline_friction · W=100 · theta_deg=30 · mu=0 · direction=up · P=50 · N=86.6025403784 · F=0
boundary-weightboundarypassExpected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
boundary-angleboundarypassExpected VALUE_OUT_OF_RANGE · Actual VALUE_OUT_OF_RANGE
boundary-muboundarypassExpected VALUE_OUT_OF_RANGE · Actual VALUE_OUT_OF_RANGE
boundary-directionboundarypassExpected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT