Buoyancy and Displaced Fluid

Floating Threshold Closes at Zero Residual

A toy floating threshold is a zero-residual force ledger. 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 floating threshold closes at zero residual

Object weight 60 newtons and buoyancy 60 newtons leave residual 0 newtons.

60minus⁡60=060\operatorname{minus}60=0
Floating thresholdThe zero residual is checked as an exact value.rho=2 kg/m^3g=10 m/s^2V=3 m^3B=60 NW=60 NWapp=0 N

This is only the exact threshold

The book does not model shape stability; it only checks the 0 newton residual case.

Wapp=0 NW_{\mathrm{app}}=0\ \mathrm{N}
Zero residualThe threshold label is exact and finite.rho=2 kg/m^3g=10 m/s^2V=3 m^3B=60 NW=60 NWapp=0 N