A trap force starts from a checked center-to-bead displacement. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The bead position is measured from the trap center

Set the trap center at 0 metres and the bead at 3 metres.

303\mathbin{-}0
Trap force ledgerMeasured bead displacement and calibrated stiffness set restoring force.trapbeaddisplacementforce

Displacement is a signed difference

The measured displacement is 3 metres to the right of the trap center.

30=33\mathbin{-}0=3
Trap force ledgerMeasured bead displacement and calibrated stiffness set restoring force.trapbeaddisplacementforce