The Spring Paradox

So the answer is down

Sometimes I re-watch these to be re-amazed!

Its annoying to hear both in english as well as hindi simultaneously. 😅

yay, bring on Skynet so I can save 5 minutes travel time.

No it’ll never work because the rich people will hide the short route behind paywalls……

"the blue route is always preferable" until cars ≥ 1100.
Eg 3300 cars split evenly:
Blue: 11 + 1 + 11 = 23
Green: 11 + 11 = 22
Red: 11 + 11 = 22
Solution: close the blue road to through traffic until > 1100 cars.

I've seen many examples of traffic lights failing and causing junctions to become free flowing. There's always some idiot that reports the fault and an engineer will turn up to repair the fault returning the junction to it's normal congested state.

To put into perspective, I would drive 80mins on side roads over sitting in traffic for 60mins. My first instinct was take the red-blue-green route because less congestion, and it’s hardly a longer drive.

Surprised we haven’t designed a traffic controller that you can log into and report your starting location and destination and assign you a route. You can still go anywhere and travel freely but by law you need to stay to the route. Could even plan routes for running errands with multiple stops.

Those were the worsely timed ads in YT history

Hiveminds exist and i know that cuz i work at a fastfood restaurant

I hate human drivers

The two things not explored, of interest, were: lengthening the slack ropes and having them different lengths. I suspect in the former case they can be as long as we like and it still works (as long as the weights don't hit the floor). And if they are different lengths (the two slack ropes) then one would go taught before the other. Perhaps that's a complication too involved to exile in a short video? It hints at two parallel springs with disparate tensions perhaps?

Thats what "local traffic only" roads are here in Canada. You have to live in that neighborhood to use the road

So, long story short : car-centric infrastructure sucks.

What a freaking chad. Makes the ad exactly 10 seconds long to include space for an instant double tap time skip. And waits an extra second before cutting the rope. What a distinguished gentleman.

Changing from one line to two lines, the weight will be departed to two springs, but it depends in the length of two seperated ropes.

Trick here is springs are already in tension. Thats why your intuition fails.

I think you don't understand the word "PARADOX". BTW there are no PARADOXES in universe or even spiritual dimensions... PARADOX is an error of thinking masked by a fancy word from intellectual posers, AKA Paradox = You are a fool and don't understand.

Personally, I would rather take a route that's longer but has me driving, as opposed to one that's faster but has me sitting in traffic.

The series parallel thing made me get it immediately. This guy fucks

this is not clicking for me

a hive mind, or a central train organizing system. yet another way public transit beats private, a few people who understand the problem better can arrange the timing and routes to minimize congestion while still allowing the many to use it

I wouldn't call that a paradox. It's pretty straightforward. You just equalize the weight per pathway, thus relieving the overall stress. I'm confused why this is called a paradox. Thats the paradox

Me filtering traffic with a bike haha

Self driving cars. No

"Subscribe to auto drive premium to access the blue route". Paying extra gets you a faster travel time than you would have otherwise. Meanwhile, the controlling company would be profiting off of making the situation worse for everyone - even the people already paying them extra to have faster travel times. I just love free market capitalism.

I was going to say it depends on how strong your springs are, how stretched out they are, and if the other strings are long/short enough to cause it to go back up. Initially it should go down and then go back up, which you displayed by slacking the blue rope.

The road analogy you used is the road I live on. No one wants to go through town. The village has done everything it can, up to and including making it a one way road, putting in speed bumps and chicanes, and people still go the wrong way and will go up into people's yards to avoid the bumps.

In my head it happens because you’re just removing the weight from the top spring in a way and it pulls up as you’d expect if you were just cutting a string holding a spring, and the force is upward pulling the attached weight

the "real" paradox, to me, is how having 3 Routes ends up with everyone travelling along One route, whereas REMOVING a route (leaving Two) will lead to a more-even distribution among those Two...having Fewer choices provides More variety...

This video is some real "high school essay padding"

The blue rope makes the weight place tension on the springs sequentially, but the green and red ropes do it in parallel.
Edit: ah the video said the exact same thing a few seconds after I posted.

My explanation would be the blue rope connects two springs essentially making them one long spring. When the blue rope is cut the weight will briefly fall until the other ropes come under tension. When this happens the two springs are no longer one long spring but two short springs that share the downwards weight force with each other. Essentially forming a shorter stronger spring that is easy to understand lifts the weight higher when the bouncing is over. This is what happens when two springs switch from running in series with each other to in parallel with each other.

See this is the issue with Physics. Its in a perfect system. This system ignores the fact that people will in fact take the longer route to not sit in stop start traffic.

This will im turn impact the initial equilibrium.

There is a situation here where, by driving quickly within the city, it is possible to undercut the ring road where traffic is slow because of the trucks. I would describe this as executing a pass through the pits in a Virtual Unsafety Trucks mode on the track. Personally, I think a possible solution here in Brazil would be to take inspiration from F1 by forcing slow vehicles to suffer a Drive Through "penalty" by entering speed-limited bypass roads, allowing fast vehicles to get ahead and get rid of the "stragglers".

I think part of the reason the initial setup is counterintuitive is that it tricks you into ignoring the tension in the metal springs because they're less colorful.

You could say that the Hyatt Regency walkway collapse happened like this, because they didn't plan for the little blue thingy, but they installed one anyway!

I entered the video for a physic answer and came out with a communist answer

Viva RUSIA!!!

los resortes pasan de estar en serie a estar en paralelo, no entiendo donde estaria la paradoja, lo entendi con apenas 1 min de video

Please do it in slow motion. I think the weight will react shortly afterward, once the mechanical wave reaches it.

la mentalidad de colmena es muy peligrosa, somos humanos no hormigas.

Y cual es la paradoja? Es una cosa ovia un asco

La ley de ohm en unos resortes
Madre mía esta que me cambio a electricidad

Thank you and George Maveron Nicholas ofr presenting this paradox, I've been searching for it for a long time. 🤗

Nominally, the weight tries to move down as soon as the blue string is cut (well, microscopically it does). At the same time though, both springs are now fully slack, so they begin to shrink as quickly as they can.

Since the springs have so little inertia amd so much impetus to move, they pull in the slack VERY quickly. Whereas the mass at the bottom has a bunch of inertia and is only pulled down by gravity, so by the time its motion is evident to the camera, the springs have pulled in all the slack and yanked it upwards.

Aren't transient problems just the best? 😅

Just allow my teleportation technology and avoid all this stress