A.3.3.CC:3 - Forces · fpf.tools

Force	Tension
Few coordinates and visible relations	Eliminating a dependent coordinate can simplify calculation; retaining it can make a physical connection or consistency condition easier to understand.
Convenient notation and coverage	One parametrization may work locally while missing configurations or becoming singular elsewhere.
Compactness and retained distinctions	Counts or aggregate quantities are economical when they answer the question; identity, order or orientation can become consequential in another use.
Constraint fidelity and computational cost	Explicitly listing admissible combinations works for a small finite set; larger sets often need equations, predicates or a solver.
Present arrangement and possible change	A configuration can satisfy every positional constraint while a proposed motion violates the system’s operation or velocity rules.
Model usefulness and subject knowledge	A coherent constraint account can support a conditional calculation; deciding whether it describes the actual system may require additional subject knowledge or measurement.