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Tension is the pulling or stretching force transmitted axially along an object such as a string, rope, chain, rod, truss member, or other object, so as to stretch or pull apart the object. In terms of force, it is the opposite of compression. Tension might also be described as the action-reaction pair of forces acting at each end of an object.
where is the applied tension on the line, is the resulting force exerted at the other side of the capstan, is the coefficient of friction between the rope and capstan materials, and is the total angle swept by all turns of the rope, measured in radians (i.e., with one full turn the angle =).
Can I tie a knot on a foot-long rope that is one inch thick? In terms of ropelength, this asks if there is a knot with ropelength 12 {\displaystyle 12} . The answer is no: an argument using quadrisecants shows that the ropelength of any nontrivial knot has to be at least 15.66 {\displaystyle 15.66} . [ 1 ]
A chain hanging from points forms a catenary. The silk on a spider's web forming multiple elastic catenaries.. In physics and geometry, a catenary (US: / ˈ k æ t ən ɛr i / KAT-ən-err-ee, UK: / k ə ˈ t iː n ər i / kə-TEE-nər-ee) is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends in a uniform gravitational field.
In climbing, a Tyrolean traverse is a technique that enables climbers to cross a void between two fixed points, such as between a headland and a detached rock pillar (e.g. a sea stack), or between two points that enable the climbers to cross over an obstacle such as chasm or ravine, or over a fast moving river. [1]
Stress is a measure of the average amount of force exerted per unit area. The stress distribution can be obtained from known theoretical [1] or numerical (Finite element method) analysis. The researcher who builds up the force lines can choose a magnitude of the internal force and the initial border where the drawing procedure starts.
The climber will fall about the same height h in both cases, but they will be subjected to a greater force at position 1, due to the greater fall factor.. In lead climbing using a dynamic rope, the fall factor (f) is the ratio of the height (h) a climber falls before the climber's rope begins to stretch and the rope length (L) available to absorb the energy of the fall,
For example, a vibrating rope in 2D space is defined by a single-frequency (1D axial displacement), but a vibrating rope in 3D space is defined by two frequencies (2D axial displacement). For a given amplitude on the modal variable, each mode will store a specific amount of energy because of the sinusoidal excitation.