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  2. Differential pulley - Wikipedia

    en.wikipedia.org/wiki/Differential_pulley

    The mechanical advantage at the differential sprocket pair equals ⁠ P 1 / P 1 − P 2 ⁠. Because there is a traveling pulley at the load, this doubles the mechanical advantage of the fixed (anchored) sprocket assembly, leading to a total mechanical advantage of 2 × ⁠ P 1 / P 1 − P 2 ⁠ .

  3. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  4. Hoist (mining) - Wikipedia

    en.wikipedia.org/wiki/Hoist_(mining)

    A drum hoist (steel wire rope visible) and motor. In underground mining a hoist or winder [1] is used to raise and lower conveyances within the mine shaft.Modern hoists are normally powered using electric motors, historically with direct current drives utilizing Ward Leonard control machines and later solid-state converters (), although modern large hoists use alternating current drives that ...

  5. Mechanical advantage - Wikipedia

    en.wikipedia.org/wiki/Mechanical_advantage

    This is the law of the lever, which Archimedes formulated using geometric reasoning. [2] It shows that if the distance a from the fulcrum to where the input force is applied (point A) is greater than the distance b from fulcrum to where the output force is applied (point B), then the lever amplifies the input force. If the distance from the ...

  6. Compound lever - Wikipedia

    en.wikipedia.org/wiki/Compound_lever

    In the example of a nail clipper on the right (a compound lever made of a class 2 and a class 3 lever), because the effort is applied vertically (that is, not perpendicular to the lever), distances to the respective fulcrums are measured horizontally, instead of along the lever. In this example, W/F is ⁠ 7 + 1 / 1 ⁠ × ⁠ 6 / 6 + 2 ⁠ = 6.

  7. Hoist (device) - Wikipedia

    en.wikipedia.org/wiki/Hoist_(device)

    Hoist atop an elevator. A hoist is a device used for lifting or lowering a load by means of a drum or lift-wheel around which rope or chain wraps. It may be manually operated, electrically or pneumatically driven and may use chain, fiber or wire rope as its lifting medium.

  8. Gresley conjugated valve gear - Wikipedia

    en.wikipedia.org/wiki/Gresley_conjugated_valve_gear

    The longer 2 to 1 Lever is located on the right side of the locomotive, and the shorter Equal Lever on the left side. The Gresley conjugated gear is effectively an adding machine, where the position of the valve for the inside cylinder is the sum of the positions of the two outside cylinders, but reversed in direction.

  9. Lewis (lifting appliance) - Wikipedia

    en.wikipedia.org/wiki/Lewis_(lifting_appliance)

    The name lewis may come from the Latin levo -avi, -atum meaning to levitate or lift, [1] but the Oxford English Dictionary Online [2] states, "the formation and the phonology are not easily explained on this hypothesis", preferring "origin obscure", and speculating that the term may derive from a personal name.