 |
|
|
|
|
|
| |
| |
|
|
|
|
| |
| |
|
|
I tried looking this up and I didn't see anything that addressed this:
Let's suppose you're holding one end of a freely hanging rope.
Then you start to give it some rotation by revolving the part you're holding
around the y-axis.
Get it going so that you're twirling it around (it will happen at a harmonic
frequency) and it curves outward [the free end likely crossing over the y-axis].
I was just idly wondering if the shape of that curve would be a catenary.
... and if it's the same curve that results from imparting a simple harmonic
motion to it in a plane while it's dangling freely.
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
"Bald Eagle" <cre### [at] netscape net> wrote:
> I tried looking this up and I didn't see anything that addressed this:
>
>
> Let's suppose you're holding one end of a freely hanging rope.
> Then you start to give it some rotation by revolving the part you're holding
> around the y-axis.
> Get it going so that you're twirling it around (it will happen at a harmonic
> frequency) and it curves outward [the free end likely crossing over the y-axis].
>
> I was just idly wondering if the shape of that curve would be a catenary.
> ... and if it's the same curve that results from imparting a simple harmonic
> motion to it in a plane while it's dangling freely.
Lasso ropes came to my mind, and I thought it might be a kind of sine wave with
increasing amplitude and frequency.
But not knowing anything of the math for such a thing I search the 'net and
found this (math shy people be warned!):
https://physics.stackexchange.com/questions/22268/shape-of-rotating-rope-lasso-problem
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
"omniverse" <omn### [at] charternet> wrote:
> Lasso ropes came to my mind, and I thought it might be a kind of sine wave with
> increasing amplitude and frequency.
I found plenty of lasso results in my search, but nothing that seemed to point
to the shape of the curved _upper_.
> But not knowing anything of the math for such a thing I search the 'net and
> found this (math shy people be warned!):
>
>
https://physics.stackexchange.com/questions/22268/shape-of-rotating-rope-lasso-problem
Well done, Bob! :D
Having successfully wrestled with the catenary, I'll have to play with _this_ at
some point in the future.
https://en.wikipedia.org/wiki/Troposkein
[X] I learned something new today.
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
On 22/09/2017 21:42, Bald Eagle wrote:
> https://en.wikipedia.org/wiki/Troposkein
>
> [X] I learned something new today.
It doesn't have a good a name as the Blancmange curve. ;-)
https://en.wikipedia.org/wiki/Blancmange_curve
--
Regards
Stephen
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
Stephen <mca### [at] aolcom> wrote:
> On 22/09/2017 21:42, Bald Eagle wrote:
> > https://en.wikipedia.org/wiki/Troposkein
> >
> > [X] I learned something new today.
>
> It doesn't have a good a name as the Blancmange curve. ;-)
>
> https://en.wikipedia.org/wiki/Blancmange_curve
Pudding, eh? Everything should be named after something else. LOL
Made me look at it, what a great subject matter for a rendering, as seen here:
https://en.wikipedia.org/wiki/Blancmange#/media/File:Blanc-manger_on_glass_platter.jpg
That Troposkein curve reminds me of myopia since I'm near-sighted like most
people who need eyeglasses. Too much bend in the cornea.
BTW, I seldom watch for off-topic messages. Just happened to *see* this one!
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
| |
|
|
On 9/22/2017 1:42 PM, Bald Eagle wrote:
> Having successfully wrestled with the catenary, I'll have to play with _this_ at
> some point in the future.
>
> https://en.wikipedia.org/wiki/Troposkein
>
Neat! I was not familiar with the name for that curve.
Post a reply to this message
|
|
| |
| |
|
|
|
|
| |
