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V
24-Ruby IV
ValeryOchkov24-Ruby IV
24-Ruby IV
November 7, 2019
Question

One interesting problem with shoe

  • November 7, 2019
  • 5 replies
  • 5144 views

I always wonder why, after a walk in the park, some of my shoes remain clean, while others are always smeared with dirt. I videotaped my walk and realized that the reason was a large welt of brown boots. Drops of water flying up can get on the shoes only if they have a certain trajectory, which depends on the initial conditions (Cauchy problem). Now I am trying to create a mathematical model (ODEs) of this process in Mathcad. Who can help me? May be this problem was solved! 
18-Shue.png

18-Shue-1.png

    5 replies

    V
    24-Ruby IV
    ValeryOchkov24-Ruby IVAuthor
    24-Ruby IV
    November 19, 2019

    Mathcad- sheets of the article

    Pendulum-Apple-1.gifPendulum-Apple-2.gif

    V
    24-Ruby IV
    ValeryOchkov24-Ruby IVAuthor
    24-Ruby IV
    December 1, 2019

    A ball on an elastic band

    Ball.png

    1D model

    Ball-Hook.png

     

    Ball-Hook.gif

    2D model

    Ball-Pendulum-Hook-Solve.png

    Ball-Pendulum-Hook.gif

      V
      24-Ruby IV
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      December 2, 2019

      Pendulum-amphora

      Pendulum-1-X-Y-Hook-NL.gif

       

      -
      -MFra-21-Topaz II
      21-Topaz II
      December 2, 2019

      Hi,

      I have not yet read your request, and in any case you should know that in Italy (especially in Rome) the subject of shoes is very delicate. When in a speech the word "shoes" is present, excluding the reclames in which one speaks of the quality, of comfort and beauty of the object, in certain cases it can also take different colors that goes from the "yellow" to the "black" or even derogatory (it's a sole = not worth anything). Now I wonder what do they do with mathcad?

      V
      24-Ruby IV
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      December 3, 2019

      Thanks, MFra,

      Can you give me more information about shoes in Rome?

      Here or in private letter.

      I am preparing a large article on the pendulum. I write in an article that our arms and legs are the most common pendulum, a compound pendulum. I am doing a mathematical model of a man’s leg swing in a shoe in order to calculate the flight of water droplets from the toe and back of the shoe.

       

      -
      -MFra-21-Topaz II
      21-Topaz II
      December 3, 2019

      Hi Valery,

      very nice this pendulum. Mine, on shoes, was only a digression on the subject, which arouses the memory of popular idioms, certainly not in academic circles, so don't take them into account.

      V
      24-Ruby IV
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      May 9, 2020

      Two different center of coordinate (Figure 7.10):

      Pendulum-1-2.gifPendulum-1-2-1.gif 

      S
      StuartBruff23-Emerald V
      23-Emerald V
      May 9, 2020

      I wonder if you have some commercial opportunity here, Valery?  Perhaps suitably amending the welt profile could alter the trajectory of the spray outwards? 

       

      Then offer to sell the concept to a shoe-polish manufacturer! 😈

       

      Cheers,

       

      Stuart

       

      (Does the spray arise from the upward movement of the foot?)

       

      V
      24-Ruby IV
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      May 10, 2020

      >

      V
      24-Ruby IV
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      December 7, 2023

      See please the chapter 4 about  pendulum

      in this Russian-English book (bilingual book)

      Engineering calculation 

      and this site

      Pendulum with SMath  

       

       

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