Algobox - The Brachistochrone

Browse

Popular

Upload

Rules

User list

Search:

The Brachistochrone

Image:

Author: FRA32

Group: Default

Filesize: 19.85 kB

Date added: 2017-01-23

Rating: 6

Downloads: 827

Comments: 5

Ratings: 3

Times favored: 0

Made with: Algodoo v2.1.0

Tags:

An idea I got from a YT video. This also demonstrates a nice method of cutting shapes using lasers!
Enjoy!

Background info:
The Brachistochrone(lat. for "shortest time") is a special curve that has 3 essential propertys:
1st. it's the result of tracing a point on the border of a rolling circle.
2nd. If you connect 2 Points A and B using this curve in such a way that A is somewhere on the curve and B at the basin, a ball can roll from A to B in the shortest possible time(hence the name)
3rd. If you place multiple balls on a brachistochrone(in this case also called Tautochrone for "same time") they will always reach the basin at exact the same time.

Wierd huh?

Please log in to rate this scene

Similar scenes

Brachistochrone Experiments

Ubsje

Rating:

Brachistochrone

dirtrider08

Rating:

Brachistochrone

PeachCandy

Rating:

Trochoid

Hasamoe

Rating:

Brachistochrone Curve

Juicicle

Rating:

Longer Path, Shorter Time

s_noonan

Rating:

Responses to this scene

Brachistochrone printing

T_Reißig

Rating:

previous | 1 | next

Xray

2017/01/23 21:25:56

Interesting concept! I've never heard of this before, and so I wonder what purpose it has. Can it be used as a tool for anything?

Also, could you explain step #4 in your scene. I don't understand what you mean by "test it". Test it for what?

Then in step #5 you show nothing but "????". What does that mean?

Thanks!

EDIT:
I found a good YT video (with Adam Savage from Myth Busters) that explains many different types of curves including the Brachistochrone.

Brachistochrone

Last edited at 2017/01/23 23:51:18 by Xray

FRA32

2017/01/24 05:30:50

@Xray
I cant tell you any usages for it yet, however it's property's make it an interresting object which may be used for something someday.
About step 4, what I meant is that you are supposed to test its property's using some rolling balls I.e. do they arrive at the same time, do they take the shortest time.
About step 5 and 6, that's a common internet joke where you are told a series of instructions, then one just tells you nothing, and the next one says profit as if these instructions show the clear path to sucess :lol:

. Step 5 and 6 actually are the "test" at its start and end.

PS. That was the video I got the idea from

Last edited at 2017/01/24 05:33:00 by FRA32

Xray

2017/01/24 08:08:23

Thanks for explaining all that! :tup:

Concerning the "common Internet joke", I have been surfing the net since around the mid 1990's and have never heard of such a thing. And I would bet that there are a lot of other people who have never heard of it either. But now I do! :lol:

I learned a lot today because of your scene and because of the resulting research that I did on the Brachistochrone. Thank you very much for posting it.

s_noonan

2017/01/24 10:26:30

How do you get rid of the small pieces you cut off?

P.S. OK. Got it. It looked like they were being killed immediately, but now I can see they are not.

Last edited at 2017/01/24 10:35:06 by s_noonan

FRA32

2017/01/24 13:57:59

@s_noonan
Yeah, the main shape is fixed to the background, but the small pieces are not and simply fall down into a killer. Else this scene would just lag out because of all the micro collisions.