One task with 3 bobs - Forces searching

[ValeryOchkov]

I try to find forces in this task. The Mathcad 15 sheet is in attach. Are equations in the Given-Find block right?

What is the 8-th equation?

[-MFra-]

Valery I'm sorry, I do not know the language. Furthermore "google translator" is not at all satisfactory.

[ValeryOchkov]

This reference is for me.

I use PTC community as a cloud disk for my works too!

[ValeryOchkov]

What is break - the string (the force was so big) or the function Find?

Can you plot traces points 2 and 3? Слабо?

Video Link : 7739

The last frame

[ValeryOchkov]

With 2 traces. But better not use spline - to create functions y(x):=Minimize() and y(x):=Find(). Try please!

Video Link : 7740

[ValeryOchkov]

This movie can we see if one string is break:

Video Link : 7741

PS we have not strings but hard links!

Can you solve this task with strings not hard links? With air resistance etc? Слабо?

[vlehner]

Chaos-Pendulum.

wouldn't it be easier to create the DGL-EQN with Lagrangesche's Formalism?

[ValeryOchkov]

Volker Lehner написал(а):

Chaos-Pendulum.

wouldn't it be easier to create the DGL-EQN with Lagrangesche's Formalism?

No problem! Create it please!

[vlehner]

...and i thought you made it allways...-meh!

Next task: Do it with the good old Abacus.

[ValeryOchkov]

Volker Lehner написал(а):

...and i thought you made it allways...-meh!

Next task: Do it with the good old Abacus.

My late mother was able on this device (Russian Abacus) to extract the square root. Weak!

I was able to solve differential equations on such device (Robotron?) in my student years. If you divide by zero, the carriage of this device goest right to the stop and there chirped until it laboratory assistant stopped.

[ValeryOchkov]

With air resistance

Video Link : 7743

[ValeryOchkov]

With air resistance end an elastic string

Video Link : 1357

[vlehner]

what a shame that there in Prime no animations are possible.

[ValeryOchkov]

With... water resistance:

Video Link : 7748

[ValeryOchkov]

With 3 traces

Video Link : 7742

The last frame

[ValeryOchkov]

The correct method of traces create and plot

[ValeryOchkov]

Is this model true? Can we use the minimize function here?

[vlehner]

Valery,

...to be serious

you changed the Geometry: Value x4 from 280mm to 340mm. Why? (better to compare with 280mm to the former problems/situations)

Setting up the 2.nd mass from 2gm to -10gm (now it it a Force upwards) doesn't (may not) corupt the Energy-Laws, so the use of the minimize-Method is in my opinion ok.

The minimal Princip of the potential energys is given by m1, m3.

[ValeryOchkov]

The first version of the article in attach.

[ValeryOchkov]

I have solved ODEs

see Hello, World! See my 1-st Prime Animation!

than I have deleted derivatives and got solution of same static task about 3 mass on the string

Thanks to all!

But no solution in Mathcad 15 - different units in vectors! Do you know solutions?

[vlehner]

When i change the guess-values, the results change or an error occurs.

The Method with minimize function is stabil at all.

[ValeryOchkov]

Volker Lehner написал(а):

When i change the guess-values, the results change or an error occurs.
The Method with minimize function is stabil at all.

Volker! Guten Morgen!

Sorry - I have do it and get stabile results.  In Prime. Show please the picture or pdf!

[vlehner]

Guten Morgen Valery!

Please look here:

And an example for other results:

I know that the guess values are not realistic- Maybe this could be a reason for that.

Your Calculation is completely right and i can comprehend it (Thank god that the positive and negative signs in russia are the same as in germany )

Have a nice day!

[ValeryOchkov]

It is non linear system and it can have not one solution.

Check please

Needed solution

One more solution

[vlehner]

Thank you!

Good idea with the random-function.

[ValeryOchkov]

Last (3/05/2017) version of the article in attach!

The name

Physics vs computer science: a funicular polygon in statics, kinematics and dynamics
or
Newton vs Lagrange

I have sent it to Journal of Applied Mathematics and Mechanics - Description

Let wait for the answer!

Second variant Том 3 Номер 4 | cloudofscience.ru

[vlehner · Accepted solution]

Great articel!

[ValeryOchkov]

Volker Lehner написал(а):

Great articel!

Thanks!

It will be a chapter for one new book with description of main tools of Mathcad.

Toby!

The more useful for PTC title of the article is

Physics and Mathcad: a funicular polygon in statics, kinematics and dynamics
or
Newton vs Lagrange

OK?

How is the process of translation?

[ValeryOchkov]

ValeryOchkov написал(а):



Volker Lehner написал(а):

Great articel!

Thanks!

It will be a chapter for one new book with description of main tools of Mathcad.

Toby!

The more useful for PTC title of the article is

Physics and Mathcad: a funicular polygon in statics, kinematics and dynamics
or
Newton vs Lagrange

OK?

How is the process of translation?

Or  more interesting

Physics and Mathcad in statics, kinematics and dynamic
or
Mathcad vs MMM (Maple, Matlab, Mathematica)

[ValeryOchkov]

Volker Lehner написал(а):

Great articel!

I think you use the google translator.

Send please this parts of translations to Toby for editing.

Version from 4/5/2015 in attach

[vlehner]

Hi Valery,

Translation in German is in Progress.

Will sent it to Toby if completely finished.

Gruß, Volker