Source: https://guthlabs.ai/docs/instruments/inclined-plane-solver/implementation/

instrument implementation / implementation-contract

# Inclined Plane Solver implementation

A source-bound implementation contract for Inclined Plane Solver; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

**Record owner**: Guth Instruments

**Lifecycle**: verified-clean

**Evidence ID**: t4-261

**Effect**: Computation or source lookup only

## Input and validation requirements

The extreme coefficient input produces floating-point overflow to positive and negative Infinity. The specification also does not define static friction, the applied-force direction, or the effect of a force with a normal component, so those cases require explicit rejection or additional conventions.

## Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

## Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

````
{
  "inputs": {
    "mass_kg": 5,
    "angle_deg": 30,
    "mu": 0.2,
    "applied_force_along_plane_N": 0,
    "g_m_per_s2": 9.81
  },
  "expected_outputs": {
    "acceleration_m_per_s2": 3.205858,
    "normal_force_N": 42.478546,
    "friction_force_N": 8.495709,
    "min_angle_deg": 11.309932
  },
  "working": "sin(30°)=0.5; cos(30°)=0.8660254. a=9.81(0.5−0.2×0.8660254)=9.81(0.3267949)=3.205858 m/s². N=5×9.81×0.8660254=42.478546 N. f=muN=0.2×42.478546=8.495709 N. theta_min=arctan(0.2)=11.309932°."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/inclined-plane-solver/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/inclined-plane-solver/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/inclined-plane-solver/qualification/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json`

- `evidence-tranche4/tranche4-results.json`