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  2. Falling cat problem - Wikipedia

    en.wikipedia.org/wiki/Falling_cat_problem

    A solution of the falling cat problem is a curve in the configuration space that is horizontal with respect to the connection (that is, it is admissible by the physics) with prescribed initial and final configurations. Finding an optimal solution is an example of optimal motion planning. [11] [12]

  3. Watt's linkage - Wikipedia

    en.wikipedia.org/wiki/Watt's_linkage

    Such devices had to combine engineering simplicity with a high degree of accuracy, and the ability to operate at speed for lengthy periods. For many purposes approximate linear motion is an acceptable substitute for exact linear motion. Perhaps the best known example is the Watt four bar linkage, invented by the Scottish engineer James Watt in ...

  4. Range of a projectile - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_projectile

    The first solution corresponds to when the projectile is first launched. The second solution is the useful one for determining the range of the projectile. Plugging this value for (t) into the horizontal equation yields = ⁡ ⁡ Applying the trigonometric identity

  5. Stokes problem - Wikipedia

    en.wikipedia.org/wiki/Stokes_problem

    The horizontal velocity is the blue line, and the corresponding horizontal particle excursions are the red dots. The case for an oscillating far-field flow, with the plate held at rest, can easily be constructed from the previous solution for an oscillating plate by using linear superposition of solutions.

  6. Rayleigh problem - Wikipedia

    en.wikipedia.org/wiki/Rayleigh_problem

    In fluid dynamics, Rayleigh problem also known as Stokes first problem is a problem of determining the flow created by a sudden movement of an infinitely long plate from rest, named after Lord Rayleigh and Sir George Stokes. This is considered as one of the simplest unsteady problems that have an exact solution for the Navier-Stokes equations.

  7. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.

  8. Motion - Wikipedia

    en.wikipedia.org/wiki/Motion

    This motion is the most obscure as it is not physical motion, but rather a change in the very nature of the universe. The primary source of verification of this expansion was provided by Edwin Hubble who demonstrated that all galaxies and distant astronomical objects were moving away from Earth, known as Hubble's law , predicted by a universal ...

  9. Engine balance - Wikipedia

    en.wikipedia.org/wiki/Engine_balance

    the horizontal motion at the pilot. As an example, the Baldwin compound Atlantic moved about 0.80 inch at 65 MPH compared with 0.10 inch for the Cole compound Atlantic. A qualitative assessment of the load on the plant supporting wheels. A 0.060-inch diameter wire was run under the wheels.

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