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  2. Crossed ladders problem - Wikipedia

    en.wikipedia.org/wiki/Crossed_ladders_problem

    The crossed ladders problem may appear in various forms, with variations in name, using various lengths and heights, or requesting unusual solutions such as cases where all values are integers. Its charm has been attributed to a seeming simplicity which can quickly devolve into an "algebraic mess" (characterization attributed by Gardner to D. F ...

  3. Ladder paradox - Wikipedia

    en.wikipedia.org/wiki/Ladder_paradox

    The ladder frame is for a person sitting on the front of the ladder, with x ′ and t ′ being the ladder space and time axes respectively. The blue and red lines, AB and AC, depict the ladder at the time when its front end meets the garage's exit door, in the frame of reference of the garage and the ladder, respectively.

  4. List of paradoxes - Wikipedia

    en.wikipedia.org/wiki/List_of_paradoxes

    Sleeping Beauty problem: A probability problem that can be correctly answered as one half or one third depending on how the question is approached. Three Prisoners problem , also known as the Three Prisoners paradox: [ 3 ] A variation of the Monty Hall problem .

  5. Frictional contact mechanics - Wikipedia

    en.wikipedia.org/wiki/Frictional_contact_mechanics

    The elastic half-space problem is solved analytically, see the Boussinesq-Cerruti solution. Due to the linearity of this approach, multiple partial solutions may be super-imposed. Using the fundamental solution for the half-space, the full 3D contact problem is reduced to a 2D problem for the bodies' bounding surfaces.

  6. Capstan equation - Wikipedia

    en.wikipedia.org/wiki/Capstan_equation

    The capstan equation [1] or belt friction equation, also known as Euler–Eytelwein formula [2] (after Leonhard Euler and Johann Albert Eytelwein), [3] relates the hold-force to the load-force if a flexible line is wound around a cylinder (a bollard, a winch or a capstan).

  7. Navier–Stokes existence and smoothness - Wikipedia

    en.wikipedia.org/wiki/Navier–Stokes_existence...

    Turbulence is a difficult phenomenon to model and understand, and it adds another layer of complexity to the problem of solving the Navier–Stokes equations. To solve the Navier–Stokes equations, we need to find a velocity field v ( x , t ) {\displaystyle \mathbf {v} (x,t)} and a pressure field p ( x , t ) {\displaystyle p(x,t)} that satisfy ...

  8. Monkey and banana problem - Wikipedia

    en.wikipedia.org/wiki/Monkey_and_banana_problem

    The problem is used as a toy problem for computer science. It can be solved with an expert system such as CLIPS. The example set of rules that CLIPS provides is somewhat fragile in that naive changes to the rulebase that might seem to a human of average intelligence to make common sense can cause the engine to fail to get the monkey to reach ...

  9. Ackermann steering geometry - Wikipedia

    en.wikipedia.org/wiki/Ackermann_steering_geometry

    Ackermann geometry. The Ackermann steering geometry (also called Ackermann's steering trapezium) [1] is a geometric arrangement of linkages in the steering of a car or other vehicle designed to solve the problem of wheels on the inside and outside of a turn needing to trace out circles of different radii.