Source Factor Depth Scans

Tether Rest-Length Excess Scan

slack changes stretch

A fixed endpoint length can leave different excess stretch when rest length changes. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A short rest length leaves six metres excess

The anchor-to-bead extension is 8 metres. Rest length 2 metres leaves excess stretch 6 metres.

8−2=68\mathbin{-}2=6
Tether extension ledgerAnchor and bead positions define extension.anchorbeadextensionexcess

A longer rest length reduces only the excess

The endpoint extension remains 8 metres. Rest length 4 metres leaves excess 4 metres.

8−4=48\mathbin{-}4=4
Tether extension ledgerAnchor and bead positions define extension.anchorbeadextensionexcess

Three rows separate endpoint length from stretch

Rest length 6 metres leaves just 2 metres of excess. A molecule can have the same endpoint length but a different stretch budget.

8−6=28\mathbin{-}6=2
Tether extension ledgerAnchor and bead positions define extension.anchorbeadextensionexcess