Wave Pendulum Emulator: Looking for Improvements

[xtempore]

I've been looking at some Wave Pendulums on YouTube, and thought it'd be fun to emulate one using HTML5. I got some pretty interesting results, but am looking for suggestions for improvements.

Have a look at it here...
http://www.keasoftware.com/experiment/pendulum_wave.html

A lot of wave pendulums are set up such that the lengths of the strings produce linear (monotonic) periods. For example a common one with 15 pool balls has them set so that the first ball cycles 60 times per minute, the next one 61, then 62, ... and the last 74 times per minute. This creates a nice repeating pattern, because once a minute everything goes back into sync.

I've set some other possible relative values for the period based on making the frequencies linear, and making the periods follow a geometric sequence.

Are there other sets of values that would give results of interest?

Thanks for your thoughts on that and any other suggested improvements.

 

[eljose79]

Thank you for sharing your HTML5 wave pendulum experiment with us. It's always exciting to see science being brought to life through interactive demonstrations.

After reviewing your experiment, I have a few suggestions for improvements that you could consider. Firstly, I noticed that the pendulum lengths in your experiment are all the same, which may limit the range of patterns that can be created. I suggest varying the lengths of the pendulum strings to see how it affects the patterns formed. You could also try using different weights for the pendulum bobs, as this will also affect the overall motion and patterns produced.

Another aspect to consider is the amplitude of the pendulum swings. By adjusting the amplitude, you can create more complex and interesting patterns. You could also experiment with different starting positions for the pendulum bobs, as this can also affect the overall motion and patterns formed.

In terms of the values for the periods, you could try using non-linear sequences such as Fibonacci or prime numbers to see how they affect the patterns. Additionally, you could try incorporating damping into the pendulum system to see how it affects the motion and patterns formed.

Overall, I think your experiment is a great start and has a lot of potential for further exploration. Keep experimenting and don't be afraid to try new things. I look forward to seeing your continued progress and any future improvements you make.

Best of luck!