Huygens's coupled oscillators

contemplated physics test
Word Count: 117

In the 1600's Huygens noticed that clocks (pendulums) that were loosely coupled would fall into synchronization. It should be pretty easy to demonstrate this:

  • Clamp a meter stick on edge between two supports.
  • Clip a few equal length chord and weight pendulums along it
  • Set them swinging at random
  • Watch as they synchronize

But:

  • What if the lengths aren't exactly the same? ('cause they won't be)
  • Does it matter where they are clamped with regards to each other or the supports?
  • Most demos use pendulums swinging in the same (or nearly the same) plane, but this idea would have them swinging in parallel planes. Does this matter?