Public evidence

mechanical.statics.slip_or_tip

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Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status STALE (3 capabilities; 189 remain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:dc42fbe4b796b5ff53f2a28767251849b8f1db6c2b324139a1f2f0f775075e51

Input schema sha256:3f06e14f0ea2ed86e3868e51a88039f2ca32bf4fa75e61e11d96c88cad993e5e · Output schema sha256:4154efade7cc81b1596a2ac33880a0326cd0e241674e0474bc48b172b0f1f4d4 · 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: slip-or-tip
Engine: slip-or-tip
Engine build: 2026-09-23
Evidence core: 2026-09-23T10:53:16.654Z
Rendered: 2026-09-23T10:57:00.184Z
Last reviewed: —

Limitations

The surface is level and the force is horizontal
The weight acts through the center of a base of width b
mode is slip, tip, or either
Not an incline, 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 — tipping or slipping
Supports: On a level surface the horizontal force to slip is μW, and the force to tip is the weight times the half-width divided by the height of the force

Published checks

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

ID	Kind	Status	Detail
`golden-slip`	golden	pass	Expected mode=slip · P=25 · P_slip=25 · P_tip=50 · N=100 · model=slip_or_tip · Actual d=2 · model=slip_or_tip · W=100 · mu=0.25 · b=2 · N=100 · P_slip=25 · P_tip=50
`golden-tip`	golden	pass	Expected mode=tip · P=12.5 · P_slip=50 · P_tip=12.5 · Actual d=4 · model=slip_or_tip · W=100 · mu=0.5 · b=1 · N=100 · P_slip=50 · P_tip=12.5
`golden-either`	golden	pass	Expected mode=either · P=20 · P_slip=20 · P_tip=20 · Actual d=4 · model=slip_or_tip · W=80 · mu=0.25 · b=2 · N=80 · P_slip=20 · P_tip=20
`boundary-weight`	boundary	pass	Expected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
`boundary-height`	boundary	pass	Expected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
`boundary-mu`	boundary	pass	Expected VALUE_OUT_OF_RANGE · Actual VALUE_OUT_OF_RANGE
`boundary-width`	boundary	pass	Expected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT