Natural Frequency of Spring-Mass System implementation

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

t5-094

Effect

Computation or source lookup only

Input and validation requirements

The boundary and zero-mass vectors require explicit rejection or special handling, and the signed static-deflection vector exposes a convention-dependent domain failure. The formula-branch comparison is internally consistent for valid positive inputs.

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": {
    "mode": "stiffness_mass",
    "k": 900,
    "k_unit": "N/m",
    "m": 4,
    "m_unit": "kg"
  },
  "expected_outputs": {
    "omega_n": 15,
    "omega_n_unit": "rad/s",
    "f_n": 2.387324146,
    "f_n_unit": "Hz",
    "T_n": 0.41887902,
    "T_n_unit": "s"
  },
  "working": "ωn=√(k/m)=√(900/4)=√225=15 rad/s. fn=ωn/(2π)=15/6.283185307=2.387324146 Hz. Tn=2π/ωn=6.283185307/15=0.41887902 s."
}

Other records

Sources and evidence

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

• VERIFIED_LEDGER.json
• evidence-tranche5/tranche5-results.json