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05-12-2020
12:31 PM

05-12-2020
12:31 PM

yo-yo

I would like to create the digital double of the yo-yo toy

Were is my error? See please attachs MC15 & Prime 5.

Do you know someone?

Thank you!

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25 REPLIES 25

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05-12-2020
12:55 PM

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05-12-2020
01:15 PM

05-12-2020
01:15 PM

Re: yo-yo

Thanks

But with error!

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05-12-2020
01:45 PM

05-12-2020
01:45 PM

Re: yo-yo

What error? It opens with no problems in my Prime 2 Express...

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05-12-2020
02:02 PM

05-12-2020
02:02 PM

Re: yo-yo

Sorry!

Prime Express can not work with the Odesolve function.

I have an error by Odesolve function in my Prime 5!

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05-13-2020
02:15 AM

05-13-2020
02:15 AM

Re: yo-yo

See please new version of sheets in attach.

Mathcad 15 gives as more informative error message.

Mathcad Prime 5 gives as old not informative error message.

Help please!

May be the math model is wrong?

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05-13-2020
05:21 AM

05-13-2020
05:21 AM

Re: yo-yo

If t.end is very small I have solution.

Now I have not 4 but 3 equation!

Help please!

See please attach

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05-13-2020
07:27 AM

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05-13-2020
08:51 AM

05-13-2020
08:51 AM

Re: yo-yo

sorry luc

I do not ask to convert 15 into prime

I ask to help me in solution

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05-13-2020
10:53 AM

05-13-2020
10:53 AM

Re: yo-yo

Hmm! I'm not sure I like your yoyo Val, so I've come up with one of my own! See below and the attached (M15 version):

Alan

I know! I know! I haven't included units. I haven't provided an animation. I haven't done the upward movement. I'll leave that to whoever is interested!

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05-13-2020
04:06 PM

05-13-2020
04:06 PM

Re: yo-yo

Thanks, Alan!

I am glad that I gave you the pleasure to solve this problem.

But I would like to see ODEs solution - not problem, but SuperProblem!

Why me sheets with Odesolve have errors?

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05-14-2020
02:32 AM

05-14-2020
02:32 AM

Re: yo-yo

Ok Val, I've modified your worksheet so that it works. The solver was confused in particular by F(t) and the explicit inclusion of the energy equation (which is there implicitly in the other terms). See my modifications below, and the attached for the complete file (M15).

Alan

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05-14-2020
07:07 AM

05-14-2020
07:07 AM

Re: yo-yo

Great response!

Just one correction:

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05-14-2020
07:40 AM

05-14-2020
07:40 AM

Re: yo-yo

Not sure I understand Fred:

Alan

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05-14-2020
08:12 AM

05-14-2020
08:12 AM

Re: yo-yo

Sorry! I missed your substitution. You (and Val, it seems) both assumed the string was wound on the outside of the yoyo. You made no mistake, it was my omission. What happens if the axle of the yoyo is much smaller than the outside of the yoyo?

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05-14-2020
08:20 AM

05-14-2020
08:20 AM

Re: yo-yo

Fred,

See my earlier reply above (reply number 9 I think), where I develop a model with the string attached to an axle.

Alan

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05-14-2020
08:54 AM

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05-14-2020
03:33 PM

05-14-2020
03:33 PM

Re: yo-yo (One more)

Thanks? Alan and Fred!

But I would like know why my model with 4 equations not work.

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05-15-2020
03:31 AM

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05-15-2020
03:45 AM

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05-15-2020
04:09 AM

05-15-2020
04:09 AM

Re: yo-yo

Deleted as irrelevant!

Alan

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05-15-2020
05:49 AM

05-15-2020
05:49 AM

Re: yo-yo

Sorry,Alan!

I have two 2-d order ODEs, not 4 1-st order ODEs

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05-15-2020
05:50 AM

05-15-2020
05:50 AM

Re: yo-yo

Deleted. My previous comment here was beside the point!

Alan

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05-17-2020
04:02 AM

05-17-2020
04:02 AM

Re: yo-yo

I've been thinking about this a little more. My previous replies were too glib (i.e. wrong!). I now think the problem is as follows:

Alan

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05-15-2020
08:14 AM

05-15-2020
08:14 AM

Re: yo-yo

I have neither Mathcad 15 nor a full Prime, so OdeSolve is beyond me.

But, I think what you're missing is tying angular rotation together with vertical motion:

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05-15-2020
10:48 AM

05-15-2020
10:48 AM

Re: yo-yo

One last addition:

Two full cycles and a string impulse calculation.