Catenary Cable

This interactive simulator explores Catenary Cable in Classical Mechanics. Uniform chain between level anchors: y ∝ cosh(x/a); sag, arc length, tension directions. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Classical Mechanics.

Key terms

  • catenary
  • cable
  • catenary cable
  • mechanics
  • classical

How it works

A **hanging uniform cable** between two **level** supports forms a **catenary** (not a parabola unless the load is uniform **horizontally**). In the ideal model, the curve is **y ∝ cosh(x/a)** up to vertical shift and horizontal translation; **a** sets how **shallow** or **deep** the sag is. **Arrow** directions sketch **tension** at the anchors; magnitude grows when the cable is **steeper** there.

Key equations

y = a cosh(x/a) + C · L = 2a sinh(s/a) for span 2s