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Emerald III

## One interesting problrm with shue

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!

9 REPLIES 9

## Re: One interesting problrm with shue - pendulum

Mathcad- sheets of the article

## Re: One interesting problrm with shue - pendulum

A ball on an elastic band

1D model

2D model

Pendulum-amphora

## Re: One interesting problrm with shue

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?

## Re: One interesting problrm with shoes

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.

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## Re: One interesting problrm with shoes

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.

## Re: One interesting problrm with shoes

This is tough! Intrigue and not tell until the end

## Re: One interesting problem with shoes - pendulum

One more pendulum (new type!)

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