Isochronous Curves

Post by agumonkey » Mon, Sep 10, 2018, 3:06 AM UTC

hexane360 wrote: post #52

agumonkey wrote: post #8

Earlier quoted context omitted.

They should build tautochronous pendulums. Or just add a spring bouncer on the end of the tracks so to enjoy multiple simultaneous bounces of different heights.

It's been done: https://en.wikipedia.org/wiki/Pendulum#1673:_Huygens'_Horolo... >To make its period isochronous, Huygens mounted cycloidal-shaped metal 'chops' next to the pivots in his clocks, that constrained the suspension cord and forced the pendulum to follow a cycloid arc.[53] This solution didn't prove as practical as simply limiting the pendulum's swing to small angles of a few degrees.

Post by glandium » Mon, Sep 10, 2018, 5:53 AM UTC

carapace wrote: post #62

colemannugent wrote: post #25

Earlier quoted context omitted.

I can't remember another particular instance, but there have been several times where something interesting linked on HN will have another piece of interesting content related to it which will then also be posted here. It is kind of uncanny that we all have seen this particular video in our recommendations recently. It makes me want to try and create a graph of the connections between all the links.

You do realize that the Internet is a vast AI with whole humans for neurons, don't you? ;-)

Post by hexane360 » Tue, Sep 11, 2018, 10:47 PM UTC

pantalaimon wrote: post #54

monochromatic wrote: post #12

Earlier quoted context omitted.

For small displacements, pendulums are already approximately isochronous.

One of the first definitions of the meter was a pendulum with a period of 1s afaik

  T = 2*pi*sqrt(L/g) = 2*pi*sqrt(1 m / 9.81 m/s^2) = 2.01 s