Graphing the Motion Profile of LEGO Cams
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- Опубліковано 31 тра 2024
- I created a jig to graph the movement profile of various LEGO pieces when they are used as cams. Turn on captions for some insight into the build. What other pieces should I try?
Background Music: Drifting at 432 Hz - Unicorn Heads
0:00 Setup, 1x3 Liftarm
0:26 1x5 Plate
0:42 3x3 L Shape
0:57 3x5 Triangle
1:12 Pulley Wheel
1:27 3x3 Quarter
1:41 2x3 Quarter
1:56 3 Blade Rotor
2:10 Actual Cam
2:58 2x4 Brick
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#LEGO #engineering #camprofiles - Розваги
Turn on captions for some commentary on the build.
What other parts should I try?
A prototype of a cam that results in a single letter. And then the boy automata by droz X) that would be the greatest Lego set of all time
April fools?
Try adding cams together (superposition) to create some truly strange waves
What is the name of that music? It is extreemly relaxing
A minifigure! :P
The mathematical implications of this build are super interesting: With the left and right motion combined with the turn of the axle, a sine wave is created. Each piece that gets added is essentially a function that, with its height difference, creates an amplitude multiplier function over time. Everything lower than the pen itself is seen as a zero multiplier and afterwards it's combined linearly. With a piece like the 3 blade rotor it's including a phase shift with the sine waves. The end result being 3 sine waves, shifted 120 degrees between each other.
I liked the 3 point rotors too it reminded me of a 3 phase generator output
This is a great tool for demonstrating the use of lateral number systems; describing periodic wave functions in terms of radial geometry
Jeeez too many nerds here chill guys xd
@@c4rb0n40 lol no
@@BunkerSquirrel cuz i didnt understand a word, prbbly cuz am still in elementary 💀💀💀💀💀💀💀💀💀💀
Behold, the most low-tech oscilloscope ever created.
If you take the cam at 1:12 which produced a sine wave (I checked to make sure), then attaching the frame holding this cam to another follower which travels perpendicularly to the first (at a different frequency) you'll get a Lissajous curve
Seismometers be like
🤔
@@martyguild
Big words hurt my brain...
Yes. A mechanical one. Oh hey my profile pic is an oscilloscope.
1:12 I'm here for the sine wave. It's beautiful!
Also, at 0:27, this cam produces the absolute value of the sine wave :)
@@martyguild You're right. Except for 1:41 and 2:10, they're all graphs of functions which only consist of sine functions and constants on specific intervals.
@@lucahermann3040 technically, all of these can be written as a an infinite sum of sines and cosines, by the Fourier theorem! :) or at least approximated by a sum of sines and cosines. i am sure most of the series would not be pretty for these cams and followers though, haha.
Yeah it's cool seeing them drawn mechanicslly. Obvi sin is the same as cos except offset but this would be closer to -cos(x). Sin(x) where x=0 is 0. This one starts at the lowest point in the trough. -cos(x) where x=0 is -1 just like that graph!
Too wide for sine wave, isn’t it?
I lost it at "Ha ha butts" Truly top tier content. 0:47 with captions on
The fruits of your labor may not be immediately apparent, but something is telling me you're doing the Lego community a huge service here.
Definitely! This saves a lot of time on testing what mechanism would fit the build best.
You should try a more “pointy” follower head, that would more closely capture the local radial diameter of the cam object. With the horizontal bar configuration it just follows the largest protrusion within ~180 degrees
Exactly.
Only thing I can see is that it wouldn't work with the first few
This was also my first thought when he switched to the 90 degree cam.
It would get stuck really easily
A little wheel (or round shape) would be perfect for this job.
At 1:12 I realized that this basically converts polar graphs into their rectangular counterparts with the off-center circle and the sine wave. So cool!
Would love to see this as a reccuring series. So fascinating.
Oh like being printed on a mobius strip?!
You got some cool bricks, ive never seen half of them...
The wheel gives a nice, continuous sine wave
I'm pretty sure you would be able to create a square wave by combining frequencies, that mechanism could be really cool
The Fourier series of the square wave is very simple as well; you just need each sine of odd integer frequency n to have an amplitude of 1/n, and even frequencies have an amplitude of 0.
So when adjoining additional cams/followers to the existing one (the output of the first follower would be controlling the height of another cam and follower, etc), just make the next frequency 3 times the first with a third of the amplitude, the next frequency 5 times the first with a fifth of the ampltide, etc. Perhaps you could design one single cam (with lots of moving parts) that could capture the square wave behavior. It'd be something like this: ua-cam.com/video/k8FXF1KjzY0/v-deo.html&ab_channel=BrekMartin
he could do it with the fourier series
The technic cam would have been cool to see the 4 placement options as different colors on the same sheet.
You could have tried element 32072 "Technic Knob Cog Gear / Wheel" (the weird 4 toothed gear used for 90° 1:1 transmission or for Hand of God steering)
ok for part 2
I appreciate you for going back and finishing that line that didn't show up entirely. Calmed my anxiety
The cam with four different positions exploded my mind. The period is the same, but it creates completely distinct patterns each time!
I love that so many people here love math and LEGOs at the same time, it’s beautiful
Awesome ! I would love to view the results with a circular follower !
Yes, great suggestion!
Love this!
Regarding your question at the end: Not sure if you missed any obvious pieces, a bit more obscure: a whole bunch of 2 by 2 bricks with axle hole and various protrusions, the 1 by 1 and 1 by 2 technic bricks with axle hole and of course these would allow brick-built cams that basically then give access to hundreds of cam profiles or even thousands, depending on the size you choose. The 2-2 modified plates with bar frame could also be interesting.
And essentially, you forgot the null cam: Brick, Round 2 x 2 with Axle Hole
;)
Ha, I did consider adding a 'null' cam as a reference, but forgot about it when I went to filming. Perhaps in the next one. :) Some great suggestions for compound cams!
Nice visualization! You should try to get interesting and useful cams by adding different pieces. For example, you can add gears to make a cam on a cam, creating more complex patterns.
3:08 - these are teeth!
I wonder if anyone has or will find the equations for these. It would be really neat to see an infographic of them all together or something like that.
The half spike ball (98578) would be cool to see. It has 2 different radii of spikes, depending on the way it's mounted.
the 2x3 quarter is a nice surprise!
Very clever! This feels like the start of a LEGO analog computer :)
I wasn't ready for it to end.
You could make an analog integrator with something like this. That would be awesome!
mechanical integrators don't involve much with cams like this; you only need a disc rotating at a constant speed, another circle that rotates on the disc, and something that records the total rotation of the rolling circle. cams usually involve projecting a certain component of the cam's shape into reciprocating/variable motion, but with a mechanical integrator, all that's happening is rolling, and the variation in the motion happens parallel with the rotating disc. furthermore, the variable position of the rolling circle is determined by a predetermined input (the function you want to integrate), and does not depend on the rotating disc whatsoever. so if you consider the cam to be the constantly rotating disc, and the follower to be the rolling circle, you are always projecting exactly 0 vertical motion to the follower. so at best this would be a trivial case of a cam and follower. note i am not an engineer so my language about this may be off.
but yes, a lego mechanical integrator would be absolutely awesome!
@@martyguild with the resurgence of analog computers it’d be really neat to see some more educational videos on their operation and the fact we can use mechanical analogs to do that is super flipping cool :)
Actually, there are alot of peices that can be mounted in multiple places, and it can be really fun to experiment and see how a change in position can drastically change the results.
It’s cool to see the dwell periods of a couple of these, always wondered what they’d look like.
10 hours of this please
The amount of interesting Lego mechanisms you could make with this information is amazing
1:56 subtitles lol
is in a game called getaway shootout
Oh I get it, that's the pulse signature for the inspirational energy coming from the lego parts :D
Does a toothed cam (i.e. a gear) add noticable "noise" to the curve?
ok
Absolutely fascinating, I am sure this is actually a very useful resource for concieving mechanisms.
Is no one talking about it being super SATISFYING???🎉🎉🎉
this is just basically what road a shape needs to roll smoothly
0:53 30256 Technic liftarm L-shape 3x3 boutta make me act up
0:47
I truthfully never would've expected you to say something like that lol
It’s kind of like a Fourier transform going on. Really cool!
Very interesting, not only for lego enthousiasts, but for learning something about cams and projections as well.
This is wild!! The way you think and create mechanisms is so cool. I also love the fact that you used a LEGO pen so it’s all purist. 🙌
Wow thank you so much for doing this! I can see interesting moving figures/animals/vehicles for each one of those already!
Super satisfying, please make more of these
Woul be nice to see all the lines multiplied on top of each other.
This kinda reminds me of the embroidery cams in my mom's old Viking sewing machine. How it was done BEFORE sewing machines became computerized.
The 71708 reminds me of an ADSR envelope like you'd see on a digital synth.
This is very relaxing to watch
Yeah. I like that very much. Beautiful patterns!
One of your more fascinating videos. Thanks for sharing
came for the video... stayed for the captions! soooo many butts... and a choppa! :D As for parts to try: 6641, 58177, 44851, 11272, 40001, and 24122 with something in the bar connector?
Thanks for the suggestions. Some great parts to try. 44851 (the one from the NHL sets) is very intriguing.
Why is this so relaxing
Yay! You did it! Super satisfying.
Something for my fully-mechanical and most advanced LEGO Flight Simulator. I’ll use this mechanism for the altitude recorder of the plane.
Would have loved to see the other pieces mounted in different ways as well!
I love that 2x4 brick was allowed to come and play 😁
This shouldn’t have been this satisfying.
Anyone else notice how the pieces were resembled by the drawing?
NICE reference video! If (when) I ever get some of those, I am glad there is a reference to know those curves! Thanks👍🏻
This is the most soothing lego video, better than any asmr.
Yes, I have to agree with the other comments I seen about this needing to be a recurring series. This has the two Must Haves that anything Great Needs..... It's Entertaining and Informational.
This was really satisfying.
Just luv it. Thanks for it.
This made me smile ear to ear :)
Why do I love this so much
This is fascinating to watch 😄
I had to watch this one on mute because of the marker sounds, and I'm glad I did, because I loved watching the graph lines.
I love this so much.
It was fun trying to visualize what the pattern would look with each piece before you showed the result
Very ingenious and interesting
The mechanism is smooth and cool
Well done 👍
Outstanding, my friend.
Extremely satisfying
It's beautiful
Great idea!
1:47AM and I am captivated by this lego inspired spirograph!
Wow! Nice idea video!
idk why but I cheered when you brought out the green 2x4 brick????
Need more of this
It would be interresting to see multiple graphs stacked on top of each other, (or in other words, a graph that shows the addition of two shape-graphs)should be possible right? I mean "simply" build another moving platform in between the shape and the pen, and on that platform there is another shape that is rotating based on the movement of the whole thing, and is connected via gears that allow free up/down-movement, with like those red 12 tooth gears. and then the pen movement is dependent on that shape.
So you get a shape that influences a platform on which another shape is placed on which the pen is placed. I don't know if anyone gets what I mean, but I think it would work
This is the best lego ASMR ever and i like it!
This is so freaking smart!
Incredibly satisfying video to watch. Very interesting, and I think very useful.
Ooooh I love this
This is very satisfying 😀
Ok, now this is really interesting stuff!
Nice build Man
This is incredibly interesting!
So cool
Really interesting to an animator too haha seeing direct correlations between motion and a motion graph
very good - off to check the VVT on my car!
you could change the cam follower from a horizontal bar to wheel or single small point to get different results from some of the same parts
Nice work
Great, just great!
Very cool
Nice video!
It’s fun to try and guess what the paper will look like for each piece
That's so useful, especially for me wanting to get into automata more. Thanks!
Beyond the imagination. Thumbs up!
I enjoyed trying to predict each one.
Fascinating, you answered a question I never new I had. +1 subscriber
Satisfying
I find it funny that you used those official LEGO markers