Cable-supported ring
Solve concurrent-force systems while enforcing tension-only cables, rank, and feasibility conditions.
Open the complete lessonAdvanced engineering statics simulation
Cable-Supported Ring
Exact cable directions, tension-only admissibility, and independent closed-form verification.
Solve two cable tensions using acute angles measured above the leftward and rightward horizontal axes.
Model scope and verification
Scope: Two-dimensional concurrent-force equilibrium. The left angle is measured above the leftward horizontal and the right angle above the rightward horizontal. Both angles are restricted to 1°–89° so the named anchors remain on their intended sides. Cables are tension-only.
Acceptance check: The SVG unit vectors, linear-system coefficients, closed-form solution, displayed tensions, physical verdict, and assessment answer are cross-checked from the same inputs. Near-vertical labels are positioned independently to remain readable.
Engineering model scope
Category
Particle equilibrium
Idealization
Concurrent forces act at an idealized particle; cables carry tension only.
Acceptance check
Require ΣF = 0 and reject negative cable tension or singular geometry.