Public evidence

mechanical.statics.incline_horizontal

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Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status STALE (6 capabilities; 189 remain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:cac70b0cee6b7cc8e940feffecedde673069ed5d50cd1a1c4fab1f800496ff65

Input schema sha256:01093b4048c24c94c5431590c45f3378747b89d9ea8db710e8f242563542e654 · Output schema sha256:9af856454c720736f03db70393a509877653212320ef543e7adc08269ef30647 · 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-horizontal
Engine: incline-horizontal
Engine build: 2026-09-23
Evidence core: 2026-09-23T12:58:27.893Z
Rendered: 2026-09-23T14:21:08.539Z
Last reviewed: —

Limitations

P is horizontal and positive toward the uphill side
Impending slip, with friction opposing the stated direction
The normal is W cosθ + P sinθ
Not a force parallel to the plane, 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.

Hibbeler, Engineering Mechanics: Statics — Dry friction — a horizontal force on an inclined block
Supports: A horizontal force resolves into P cosθ along the plane and P sinθ into the surface. Impending slip sets the friction magnitude to μN.

Published checks

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

ID	Kind	Status	Detail
`golden-level`	golden	pass	Expected P=25 · N=100 · F=-25 · direction=up · model=incline_horizontal · Actual model=incline_horizontal · W=100 · theta_deg=0 · mu=0.25 · direction=up · P=25 · N=100 · F=-25
`golden-down`	golden	pass	Expected P=-25 · N=100 · F=25 · direction=down · Actual model=incline_horizontal · W=100 · theta_deg=0 · mu=0.25 · direction=down · P=-25 · N=100 · F=25
`golden-angle`	golden	pass	Expected P=100 · N=141.4213562373095 · F=0 · Actual model=incline_horizontal · W=100 · theta_deg=45 · mu=0 · direction=up · P=100 · N=141.421356237 · F=0
`boundary-weight`	boundary	pass	Expected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
`boundary-angle`	boundary	pass	Expected VALUE_OUT_OF_RANGE · Actual VALUE_OUT_OF_RANGE
`boundary-mu`	boundary	pass	Expected VALUE_OUT_OF_RANGE · Actual VALUE_OUT_OF_RANGE
`boundary-missing`	boundary	pass	Expected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT