mechanical.statics.incline_slip_or_tip

Three distinct suites: educational examples on the calculator page, this legacy regression count (7/7 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-09-27.o2-o3. Calculation version 1.0.0. CVP 1.0.0-proposed. 4/4 golden · 4/4 CVP boundary · 6/6 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 2/2 cross-interface · 6/6 CVP contract. digest 70cb11de1b32. O2: theta_deg vs a separate-module identity (≤2 ULP). Not a level surface, not wedges, not screws, and not belts. ≤2 ULP vs O3 applies only to the published tabulated incline-slip-or-tip vectors.

• Golden (oracle-backed) 4 / 4
• CVP boundary 4 / 4
• Invalid input 6 / 6
• Property 1 / 1
• Metamorphic 1 / 1
• O3 high-precision 8 / 8
• Cross-interface 2 / 2
• CVP contract 6 / 6
• Interfaces PASS · UI (SSR) / REST / MCP
• Interface claim ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only.
• Verified scope θ_slip = arctan(μ), θ_tip = arctan(b/h); θ is the smaller. + O3 mpmath tabulated θ.
• Assurance Engineering
• Deferred Not a level surface, not wedges, not screws, and not belts.

• 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 sha256:39e1e0eadeeb7236b1b70c08a6a0a12361d3af4f406382da91a2fcb7f1bf1603

Input schema sha256:014dd65bc33d21b3a7abf8233bebbf36b1e20166412c12eebf508f6ab7e17272 · Output schema sha256:bd1941a7bd65f2a1b877a2423ac76a3799ef6a08685bb6e693942707e5330aad · 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.

Tool

incline-slip-or-tip

Engine

incline-slip-or-tip

Engine build

2026-09-27

Evidence core

2026-09-27T08:15:46.336Z

Rendered

2026-11-10T05:18:42.168Z

Last reviewed

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Limitations

• The block is a homogeneous rectangle
• The only force is its own weight
• b is the base along the incline and h is the height perpendicular to it
• Not a horizontal force on a level surface, a wedge, a screw, or a belt