I would like to plot this function - Computing the length of a reflected path. Options  Email this topic  Watch this topic  Print this topic » Normal Threaded

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mangurian		#1 Posted : 13 October 2019 23:18:05(UTC)
Rank: Newbie Groups: Registered Joined: 22/09/2019(UTC) Posts: 3 Location: NC		I have attached a Reflection.sm (51kb) downloaded 14 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 (51kb) downloaded 14 time(s).
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Jean Giraud		#2 Posted : 14 October 2019 00:23:01(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Oh ! ... your proposal is not much productive, is it ? The picture is strictly discontinuous. Reflection.sm (55kb) downloaded 6 time(s).
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Jean Giraud		#3 Posted : 14 October 2019 00:28:17(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		...
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mangurian		#4 Posted : 14 October 2019 00:33:49(UTC)
Rank: Newbie Groups: Registered Joined: 22/09/2019(UTC) Posts: 3 Location: NC		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) Edited by user 14 October 2019 00:37:29(UTC)  | Reason: Not specified
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Jean Giraud		#5 Posted : 14 October 2019 05:00:11(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: mangurian 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 (63kb) downloaded 8 time(s).
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Jean Giraud		#6 Posted : 14 October 2019 17:27:00(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: Jean Giraud 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 (129kb) downloaded 10 time(s).
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alyles		#7 Posted : 14 October 2019 17:46:04(UTC)
Rank: Advanced Member Groups: Registered Joined: 23/03/2016(UTC) Posts: 276 Was thanked: 91 time(s) in 57 post(s)		Originally Posted by: mangurian 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 (178kb) downloaded 8 time(s). Edited by user 14 October 2019 18:04:54(UTC)  | Reason: Not specified
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Jean Giraud		#8 Posted : 14 October 2019 19:45:09(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: alyles 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 (187kb) downloaded 6 time(s).
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Jean Giraud		#9 Posted : 14 October 2019 21:31:04(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		... You can have it to a good degree of accuracy as a continuous function, though a bit strange. Reflection [abst, alyles].sm (253kb) downloaded 5 time(s).
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alyles		#10 Posted : 14 October 2019 22:00:54(UTC)
Rank: Advanced Member Groups: Registered Joined: 23/03/2016(UTC) Posts: 276 Was thanked: 91 time(s) in 57 post(s)		Originally Posted by: Jean Giraud ... 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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Jean Giraud		#11 Posted : 14 October 2019 23:47:14(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: alyles 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 (210kb) downloaded 4 time(s).
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Jean Giraud		#12 Posted : 15 October 2019 02:55:19(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		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 (233kb) downloaded 11 time(s).
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