I would like to plot this function

#1 Posted: 2019/10/13 17:18:05

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I have attached aReflection.sm (50.87 KiB) downloaded 579 time(s). .sm file containing a computation I would very much like to plot.
The geometry is shown in the picture below.
Can someone help ?
Thanks,

Reflection.sm (50.87 KiB) downloaded 579 time(s).

#2 Posted: 2019/10/13 18:23:01

Jean Giraud

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Oh ! ... your proposal is not much productive, is it ?
The picture is strictly discontinuous.

Reflection.sm (54.37 KiB) downloaded 580 time(s).

#3 Posted: 2019/10/13 18:28:17

Jean Giraud

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...

#4 Posted: 2019/10/13 18:33:49

Harry Mangurian

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I don't think L is discontinuous for ddegrees in the range 0 to 60.

What am I missing here ?

L(ddegrees) should vary smoothly from L(0) to L(60)

#5 Posted: 2019/10/13 23:00:11

Jean Giraud

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What am I missing here ?

You are missing to plot the literal demo diagram,
here is as per your inputs [a,b,s,t].
More is missing from incomplete project description.

Reflection [abst].sm (62.14 KiB) downloaded 460 time(s).

#6 Posted: 2019/10/14 11:27:00

Jean Giraud

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You are missing to plot the literal demo diagram,
here is as per your inputs [a,b,s,t].
More is missing from incomplete project description.

Refreshed from your literal inputs.
You may have to revisit your College Physics book.
Cheers ... Don't hesitate.

Reflection [abst].sm (128.95 KiB) downloaded 444 time(s).

#7 Posted: 2019/10/14 11:46:04

Arie

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Wrote
I don't think L is discontinuous for ddegrees in the range 0 to 60.

What am I missing here ?

L(ddegrees) should vary smoothly from L(0) to L(60)

Yes the length L is continuous with respect to ddegrees. I think Jean misunderstands the question. See attached. (A little sloppy but it works)

Edit: Updated graph to add labels
Edit2: Had an error in definition of L. Fixed.

Reflection_alyles.sm (177.77 KiB) downloaded 606 time(s).

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#8 Posted: 2019/10/14 13:45:09

Jean Giraud

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I think Jean misunderstands the question.

Quite right: misunderstood the travelling distance vs °incidence.
Thanks, interesting project. We need more real projects.

Reflection [abst, alyles].sm (186.64 KiB) downloaded 487 time(s).

#9 Posted: 2019/10/14 15:31:04

Jean Giraud

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... You can have it to a good degree of accuracy
as a continuous function, though a bit strange.

Reflection [abst, alyles].sm (252.97 KiB) downloaded 478 time(s).

#10 Posted: 2019/10/14 16:00:54

Arie

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... You can have it to a good degree of accuracy
as a continuous function, though a bit strange.

FYI Jean you're using one of my earlier files where I had a copy paste error in the derivation of L(d), the second root term should only have s*tan(d*pi/180). You can get rid of the "c-"

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#11 Posted: 2019/10/14 17:47:14

Jean Giraud

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FYI Jean you're using one of my earlier files where I had a copy paste error in the derivation of L(d), the second root term should only have s*tan(d*pi/180). You can get rid of the "c-"

Thanks ... updated.
The model fit is brute force, limited.
From my 100's models, not one immediate.
If interested: let me know, not sure if possible.

Reflection [abst, alyles].sm (209.76 KiB) downloaded 467 time(s).

#12 Posted: 2019/10/14 20:55:19

Jean Giraud

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I understand the idea to tabulate as demanded,
in fact useless as you have the continuous function.
Purely Edu. LinfitCheby added.
No problem to export as a function.
Thanks alyles for completing the project.

Reflection [abst, alyles].sm (232.29 KiB) downloaded 460 time(s).

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