One for the mathematicians

[3D Jed]

A shameless plug for my latest YouTube video -

100 pendulums of gradually increasing length set swinging at the same time gives interesting results

Cinema 4D Animation - 100 pendulums - YouTube

I also made a rig with 500 pendulums, but that was a bit OTT

 

[Golden]

Perfect sine wave?

 

[ICIT2LOL]

Interesting and I have to say that this in the real world would only happen in a vacuum given that the air resistance against the differing pendulum arms would have some effect, hence reducing the speed of that arm through the prescribed arc.

The other thing that strikes me too is that one has to take into account the effects of any gravitational force existing within the proximity of the pendulum arms.

But cleverly thought out all the same.

 

[3D Jed]

@ ICit2lol - of course you are correct re air resistance - the pendulums would gradually slow down. However I seem to remember when I was at uni, many years ago, doing a lab experiment to measure gravitation attraction between 2 heavy lead spheres, it was only just detectable - so your theory of inter-pendulum effects is minimal.

In C4D everything is adjustable eg gravity, wind resistance + turbulence, friction, bounce etc etc - all can be set way past normal parameters (or turned off). Indeed in my video I have gravity set to 5X to speed things up a bit.

My main software is Maxon Cinema 4D + Adobe Master Collection. Add to that 3X i7s (used together for rendering) plus HD monitors etc and I'm sitting in front of 12 grand's worth of gear - making videos of ****ing pendulums!!!

 

[ICIT2LOL]

Very interesting all the same Jed I never got to any higher education and it was not until I did my tertiary nursing qualifications did I realise I had wasted a great deal of my informative years.
I picked up a and read a book by Max Born called the Restless Universe out of pure curiosity and instantly became fascinated in physics and the natural world.

However I digress.

The gravitational forces I was really thinking of was the individual gravitational force being exerted as a singular natural phenomenon not as you may be thinking as an inter action between the pendulums.

Still I think your efforts were so cleverly done and thought out. I just wish I could do something as good as you did.

I also wonder what your thoughts on the effects of time on that motion as I recently watched a doco on the TV involving time it's concept and actual existence. In particular I found it although hard to understand - exciting that it could itself be reconfigured so in theory be possible for travel in that state to occur. But maybe I was either being duped or maybe just plain mad LOL!!

 

[Layback Bear]

Well I have a scientific theory and it is the theory of
I like it.

Well done 3D Jed.

 

[COMPUTIAC]

Excellent video works of art.
Going to watch all of them on the LG 55" 3D TV.

 

[3D Jed]

Thanks for comments. The only downside is the fact that YouTube really screws up video quality. I'm getting a Vimeo Plus channel soon - much higher quality, HD embedding etc for 10 bucks a month.

Most people who use C4D and similar software are mainly into modeling eg human faces, photorealistic buildings or cars. Animators often use keyframed motion, but I like to use real world physics + dynamics simulation ie my cars are driven by motors and actually steer and react to the environment. Also I try to include some random math, so when I hit play I don't know exactly what's going to happen.

 

[ICIT2LOL]

Yes Jed you did a real nice job mate I shouldn't have gone on so much as I did and if I caused you any offence please accept my apologies.

I just get carried away with stuff like that because I do like answers but perhaps I should just keep quiet as it does seem to upset some by implying that what you did was secondary to what I found an interesting subject.

By the way the video came through on my rig and laptop just fine

 

[mjf]

Isn't this the basic physics of a swinging pendulum. Eventually friction may affect the result but my understanding is that Grandfather clocks have a gear mechanism to keep adjusting their height of swing to overcome slight friction.
In this idealized environment the end result (no friction or air resistance) just looks sort of pretty but I guess still interesting when viewed from different angles. The period of oscillation is proportional to the square root of the pendulum length. The patterns depend on the lengths.

Deriving lateral patterns for a given string length sequence could drive the the nuts out of an undergrad physics or maths student in an exam. That would be cruel.

 

[ICIT2LOL]

Isn't this the basic physics of a swinging pendulum. Eventually friction may affect the result but my understanding is that Grandfather clocks have a gear mechanism to keep adjusting their height of swing to overcome slight friction.
In this idealized environment the end result (no friction or air resistance) just looks sort of pretty but I guess still interesting when viewed from different angles. The period of oscillation is proportional to the square root of the pendulum length. The patterns depend on the lengths.

Deriving lateral patterns for a given string length sequence could drive the the nuts out of an undergrad physics or maths student in an exam. That would be cruel.

Yes MJF it is and I did as I said get carried away with working on the theory from an ideal scenario ie there is no friction either from a mechanical or air resistance angle or the absence of any gravitational or time / space influence.

I still think that Jed had a very original idea and I really admire the work that he put into the graphics.

 

[3D Jed]

I think the Italian scientist Galileo first noticed the regularity of a pendulum when observing a moving chandelier in Pisa cathedral circa 1600 and he later worked out the math. Story is he timed it with his pulse. Maybe it was a boring church service.

My C4D animation was a kind of thought experiment. All the laws of physics are obeyed. In reality it would be hard to make such a device because even with some clever engineering to lift the pendulum weights, the pendulums would probably collide. Would make a cool Newton's Cradle type executive toy.

I say respect to Maxon for including real world physics + dynamics in their modeling software.

C4D as used in the movie industry at the bottom of this page -

Cinema 4D - Wikipedia, the free encyclopedia

edit - found a video of a real life version of my pendulum rig

http://galileospendulum.org/2011/05/04/pendulum-waves-and-the-beginnings-of-quantum-physics/

 

[mjf]

My C4D animation was a kind of thought experiment. All the laws of physics are obeyed. In reality it would be hard to make such a device because even with some clever engineering to lift the pendulum weights, the pendulums would probably collide. Would make a cool Newton's Cradle type executive toy.
http://galileospendulum.org/2011/05/04/pendulum-waves-and-the-beginnings-of-quantum-physics/

I didn't realize it was your animation. VERY well done.