Media Summary: Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This double This is the exact same simulation as the previous double let's see what happens when we simulate a

Appdynsys Spherical Pendulum Spin Around - Detailed Analysis & Overview

Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This double This is the exact same simulation as the previous double let's see what happens when we simulate a and, of course, things can be taken to an unsightly extreme when it comes to building chaotic compound pendula. Here we use the equations of motion we derived for theta and phi from the last video to simulate the you can build (or find for sale) pendular configurations built from objects other than rigid rods. this one, made from solid rings, ...

What happens when you place a sliding bead on a hoop and

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AppDynSys : Spherical Pendulum : Spin Around
AppDynSys : Spherical Pendulum : Double
AppDynSys : Spherical Pendulum : Initial Conditions
AppDynSys : Spherical Pendulum : Double Bottom View
AppDynSys : Pendumonium : Septuple Pendulum!
AppDynSys : Pendumonium : Triple Pendulum
AppDynSys : Pendumonium : Stranger Things
Spherical pendulum (1.0.1)
Simulating the Spherical Pendulum with Mathematica
AppDynSys : Pendumonium : Strange Rings
AppDynSys : 2nd Order ODEs : Spinning Hoops
Spherical Pendulum
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AppDynSys : Spherical Pendulum : Spin Around

AppDynSys : Spherical Pendulum : Spin Around

The previous simulation of a

AppDynSys : Spherical Pendulum : Double

AppDynSys : Spherical Pendulum : Double

Spherical pendula, like planar pendula, exhibit chaotic dynamics when coupled together. This double

AppDynSys : Spherical Pendulum : Initial Conditions

AppDynSys : Spherical Pendulum : Initial Conditions

If we change the type of joint on a

AppDynSys : Spherical Pendulum : Double Bottom View

AppDynSys : Spherical Pendulum : Double Bottom View

This is the exact same simulation as the previous double

AppDynSys : Pendumonium : Septuple Pendulum!

AppDynSys : Pendumonium : Septuple Pendulum!

let's see what happens when we simulate a

AppDynSys : Pendumonium : Triple Pendulum

AppDynSys : Pendumonium : Triple Pendulum

why stop with a double

AppDynSys : Pendumonium : Stranger Things

AppDynSys : Pendumonium : Stranger Things

and, of course, things can be taken to an unsightly extreme when it comes to building chaotic compound pendula.

Spherical pendulum (1.0.1)

Spherical pendulum (1.0.1)

Simulation and animation of a

Simulating the Spherical Pendulum with Mathematica

Simulating the Spherical Pendulum with Mathematica

Here we use the equations of motion we derived for theta and phi from the last video to simulate the

AppDynSys : Pendumonium : Strange Rings

AppDynSys : Pendumonium : Strange Rings

you can build (or find for sale) pendular configurations built from objects other than rigid rods. this one, made from solid rings, ...

AppDynSys : 2nd Order ODEs : Spinning Hoops

AppDynSys : 2nd Order ODEs : Spinning Hoops

What happens when you place a sliding bead on a hoop and

Spherical Pendulum

Spherical Pendulum

This is a simulation of a

Spherical Pendulum

Spherical Pendulum

pendulum