Pulley hanging load
Solve concurrent-force systems while enforcing tension-only cables, rank, and feasibility conditions.
Open the complete lessonAdvanced engineering statics simulation
Pulley and Hanging-Load System
Continuous equivalent reeving, exact supporting-leg count, and aggregate-efficiency equilibrium.
Trace one continuous equivalent rope and relate the selected supporting-leg count to required cable pull.
Model scope and verification
Scope: Ideal one-rope tackle with equal tension in every rope leg. The selected integer n is the number of vertical tension legs terminating at moving pulleys or the moving-block anchor. η is an explicitly stated aggregate system efficiency, so the educational model uses W = nηT rather than a detailed per-sheave loss model.
Acceptance check: The continuous reeving contains exactly n supporting legs, every pulley has a visible fixed or moving attachment, and both the displayed pull and assessment answer satisfy nηT − W = 0 to numerical precision. Noninteger exact entries are normalized to the nearest permitted segment count.
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.