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Best answer by Tmetcalf

Great stuff Val!

105 replies

1-Visitor
April 22, 2017

Amazing Valery!

is it possible to run the animation in Prime like running animations via range variable in MC15?

24-Ruby IV
April 22, 2017

Volker Lehner написал(а):

Amazing Valery!

Thanks!

Volker Lehner написал(а):

is it possible to run the animation in Prime like running animations via range variable in MC15?

We use the variable FRAME in Mathcad 15 not range variable!

24-Ruby IV
April 22, 2017

But is the model correct?

Must forces F1, F2 and F3 be always negative?

See please re attach!

1-Visitor
April 23, 2017

Valery,

What are the Forces F1, F2, F3 exactly?

Are these the Forces which have the same direction like the strings (=colinear)?

I try to verify the acting forces again  to be sure if all be allright.

24-Ruby IV
April 23, 2017

>Are these the Forces which have the same direction like the strings (=colinear)?

Yes!

F<0 - Stretching of the string

F>0 - Compression - not possible with a string (see at t= 1.8 s). Check please!

Fig-17-FFF.png

1-Visitor
April 23, 2017

>F>0 - Compression - not possible with a string (see at t= 1.8 s). Check please!<

With an ammount of 0.008 Newton- it's a inaccuracy of calculation in my opinion.

In that moment, we would have a free falling body.

We should do an experiment, and see what the string does make at the force>0. (needing a high speed camera)

If the strings are stiff (we didn't take into account at the beginning of our simulation) what would then happen?

I want to try to setup a calculation with Lagrangesche Formulas, but it's a hard way to do.
1-Visitor
April 24, 2017

What the pendulum with 3 masses is concerned: Lagrangesche Formulas - I cannot handle the huge equations with Mathcad Prime solve block.

The better way is to use mechanical Formulas (Newton's Laws) like Valery did.

I made the Lagrangesche for a pendulum with 2 masses and it works perfect.

And now i plottet my first trajektory with Prime in the attached example. Wohuuuuu!!!!!

Valery: pleas tell me the internet programm that i can visualize a moving pendulum trajektory.

24-Ruby IV
April 24, 2017

Volker Lehner написал(а):

Valery: pleas tell me the internet programm that i can visualize a moving pendulum trajektory.

https://ru.toolson.net/GifAnimation/Create

1-Visitor
April 24, 2017

THX!

1-Visitor
April 28, 2017

Valery,

I need help for better understanding according to your summation of Forces of pendulum-3-hard-linking.mcdx.

I created a dynamic balance, which you can see in the sketch.

The direction of force of the slowness is allways in the opposite direction of the acceleration vektor (D' Lambert's Law)


I confirm with your equations in x-direction, but in y-direction we have different equations.

The body mass m1 moves to the left in direction of the negative x-achses and it moves downwards in direction to the negative y-achses.

So the body mass m1 accelerates (increasing speed) downwards and to the left.

I am confused if i compare my equations with yours.

How did you get it, can you show me with a short sketch?

Can you please tell me what is fact here?

Thank you!

Volker

24-Ruby IV
April 28, 2017

Sorry, Volker!

I input equations and see an animation.

If the animation is fine - equations are correct.

If the animation is not fine - I change equations and see new animation!

And I think about physic of course. But in second line

Main is a fine animation!

We have animation in Mathcad 15 but cannot work with units in Odesolve.

We can work with units in Odesolve in Prime, but Prime have not animation!

Нет в жизни счастья!

TmetcalfEmeritusAnswer
Emeritus
May 1, 2017

Great stuff Val!

24-Ruby IV
May 1, 2017

Toby Metcalf написал(а):

Great stuff Val!

Thanks, Toby!

I hope the article will be interesting.

I would like to translate it in English and publish.

Can you help me?

Val

Emeritus
May 1, 2017

My Russian is a bit rusty Val 🙂

How long is the article? 

Best,

Toby

1-Visitor
July 3, 2017

Hi Valery,

I have your Artikel translated to German and sent it to you via e-mail:

03-07-2017 18-11-30.jpg