Understanding the capstan equation | Friction and wrapped strings

Luxury = Money & Power on Instagram: "The simplicity of the clove hitch masks its mathematical perfection. This firefighter is demonstrating a rapid deployment of the clove hitch, a fundamental binding knot that relies on the Capstan Equation to function. By creating two overlapping loops, the knot uses the friction of the rope against the cylinder and against itself to lock into place. The beauty of this engineering marvel is that as the load increases, the tension actually tightens the grip, m