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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 =).
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 tension (in Newtons), is the linear density (that is, the mass per unit length), and is the length of the vibrating part of the string. Therefore: the shorter the string, the higher the frequency of the fundamental; the higher the tension, the higher the frequency of the fundamental
Rodeo slacklining is the art and practice of cultivating balance on a piece of rope or webbing draped in slack between two anchor points, typically about 15 to 30 feet (455 to 915 cm) apart and 2 to 3 feet (60 to 90 cm) off the ground in the center.
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]
However, rope manufacturers give only the rope’s impact force F 0 and its static and dynamic elongations that are measured under standard UIAA fall conditions: A fall height h 0 of 2 × 2.3 m with an available rope length L 0 = 2.6m leads to a fall factor f 0 = h 0 /L 0 = 1.77 and a fall velocity v 0 = (2gh 0) 1/2 = 9.5 m/s at the end of ...
Newton's laws are often stated in terms of point or particle masses, that is, bodies whose volume is negligible. This is a reasonable approximation for real bodies when the motion of internal parts can be neglected, and when the separation between bodies is much larger than the size of each.
The equation used to model belt friction is, assuming the belt has no mass and its material is a fixed composition: [2] = where is the tension of the pulling side, is the tension of the resisting side, is the static friction coefficient, which has no units, and is the angle, in radians, formed by the first and last spots the belt touches the pulley, with the vertex at the center of the pulley.