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I just learned about the isochronous curve!
Spooky, that same video was just suggested on YouTube before I even saw this thread. Something I didn't know about before today. Not sure how it actually relates to bicycles but fascinating none the less.
That’s cool. 👍
Awesome. I have three maths degrees, my partner 2 and is a teacher and neither of us had heard of that one.
Ive still not got far beyond the beauty of this https://cyclingmagazine.ca/sections/news/paths-unmanned-bicycles-pushed-fall/
Thanks to to whoever originally posted it.
Anyone able to prove why that's the case? Or why the bike wheel makes the curve? I might have a go.
Anyone able to prove why that’s the case?
I have a proof, but it’s too big for the margin.
I flipping LOVE maths/physics. That was extremely cool! Thanks Malvern Rider.
I didn't know that, thanks Malvern Rider. But I am surprised that it's called "the isochronous curve" - it's a cycloid, and one of its properties is that it's isochronous.
Thanks also, eddiebaby, that's impressive. A lot of care must have been taken to get the bike absolutely upright when launched, otherwise the plot wouldn't be symmetrical.
I flipping LOVE maths/physics. That was extremely cool! Thanks Malvern Rider.
<span style="font-size: 0.8rem;">If you like the above, then all of the Numberphile videos on YouTube are very good. You may particularly like Tadashi Tokieda’s.</span>
For example: https://m.youtube.com/watch?v=JuuYFt8bahE
https://m.youtube.com/watch?v=JuuYFt8bahE
/a>
I have a proof, but it’s too big for the margin.
🤗🤗 Wonderful!
That's pretty cool perhaps even cooler for me is the olfactory memory of tobacco tins, even though it’ll be almost 40 years since I smelled one.
I have a proof, but it’s too big for the margin.
applauds, peak stw
If you like the above, then all of the Numberphile videos on YouTube are very good
Especially the ones with Hannah Fry. I could listen to her all day.
I have a proof, but it’s too big for the margin.
Adds to applause. But can't you just refermat the page?
see also
https://www.explainxkcd.com/wiki/index.php/1381:_Margin
Everything about cast aluminium alloy stems, their design and failure.
It's ****ing marvelous. Honest.
Lovely practical demonstration. The ohp made me misty eyed
start at (x,y) resolve forces and s = a*t*t/2 for x and y equal to s. Since it is isoxhronous you have a relationship between x and y and time to reach the origin. You could then transform to a rotating frame of reference.
If you're interested in curves go and find the most recent three or four episodes of the rebuild of Tally Ho on Youtube where the shipwright Leo is lofting the hull and making new parts. Obscure but fascinating.
I flipping LOVE maths/physics.
That was more Engineering... massively overcomplicating the principle, way too much detail on things that don't matter... and did you see how much tape was used 🙂 I jest, I love stuff like this too
Great video about the isochronous curve.
I believe, although I am not certain, that if you hang a chain from it's ends it hangs in the shape of an isochronous curve.
Nope. I think it's more a parabola...
(Other answers may be more correct.)
No IIRC a parabola is when you have unit weight per horizontal length, like a suspension bridge. Chain/rope will be a catenary. Long time since I've calculated this sort of thing though.
I came across this video a few months back whilst i was working out how to parachute faster in Pubg 🙂
Loved that, reminded me of the 60s/70s OU programs that I used to love… 🙂 Tobacco tins and matches - wonder what would be used today?
Like😎
what would be used today? A weed grinder... and matches!
No IIRC a parabola is when you have unit weight per horizontal length, like a suspension bridge. Chain/rope will be a catenary. Long time since I’ve calculated this sort of thing though.
You're right. Sorry, too long since I did this stuff.