Motivating problems

[moorepants]

Planar Double Pendulum

• 2D
• two revolute joints
• holonomic system
• gravity
• can demonstrate chaos

Baby Boot

https://pydy.readthedocs.io/en/latest/examples/chaos-pendulum.html

• 3D
• two revolute joints
• holonomic system
• gravity
• can demonstrate chaos

Chaplygin sleigh

• 2D, planar
• nonholonomic constraint

Whipple-Carvallo Bicycle

https://pydy.readthedocs.io/en/latest/examples/carvallo-whipple.html

• 3D
• holonomic constraint
• nonholonomic constraints
• conservative
• self-stable

Quadcopter

• 3D
• 1 rigid body
• useful for quaternion explanation

Bicycle model of the car

• 2D
• planar

Heave-pitch model of a car (half car model)

Ape Swing

• A planar multi-link pendulum
• Gomes & Ruina paper https://doi.org/10.1016/j.jtbi.2005.04.014

Simple walker (rabbit toy)

Skateboard

https://doi.org/10.1115/1.3424680

• conservative
• self-stable

Standing balance

Quadraped

Control moment gyro

Segway

https://github.com/moorepants/eme171/blob/master/content/pages/segway-simulation.rst

https://moorepants.github.io/eme171/modeling-simulation-and-control-of-a-segway.html

Explorer 1 instability

https://youtu.be/RdDJtUxLwqQ

Dzhanibekov Effect

https://en.wikipedia.org/wiki/Tennis_racket_theorem

https://i.imgur.com/FGy1ZKq.mp4

Double jump

https://twitter.com/rosshm16/status/1488213307391721473

Falling cat

https://en.wikipedia.org/wiki/Falling_cat_problem

Parallel parking problem

nonholonomic

Balanced-arm lamp

These hug lamps in Rotterdam work that way:

https://en.wikipedia.org/wiki/Balanced-arm_lamp#/media/File:GraphyArchy_-_Wikipedia_00323.jpg

https://en.wikipedia.org/wiki/Luxo_Jr.

Orrery

https://www.rijksmuseum.nl/en/collection/NG-NM-11700

https://darkcrystal.fandom.com/wiki/Aughra's_observatory

Dutch kinetic art flat rotating plates

https://www.reddit.com/r/Rotterdam/comments/svo3cs/hij_maakt_overuren/

Moments of inertia of birds

https://www.nature.com/articles/s41586-022-04477-8

Wobble toy

https://youtu.be/Oo9H970JLg8

ball or disc rolling on a turn table

https://youtu.be/3oM7hX3UUEU

Pantograph

Watt's Linkage

Bennet's Linkage

https://web.archive.org/web/20170220094157/synthetica.eng.uci.edu/Animations-3/Bennett_Linkage.gif

[moorepants]

Interesting ski jump: https://www.instagram.com/reel/ClZP9Oigcbc/?igshid=YmMyMTA2M2Y%3D

Can't move in translation in space: https://www.reddit.com/r/interestingasfuck/comments/zl0pcx/an_astronaut_in_microg_without_access_to_handles/

Suspension of rally truck: https://www.reddit.com/r/nextfuckinglevel/comments/zlgl5v/50000_suspension_in_action/

[moorepants]

Interesting page about debunking gyroscope misconceptions: http://www3.eng.cam.ac.uk/~hemh1/gyroscopes/htmlgyroscopes.html

[Peter230655]

I am fascinated by these effects! Whenever possible, I include one in my simulations - mostly possible. I never had any doubt, that they could not be derived from Newton's and Euler's Laws, though! ( Amazing, what nonsense one may present even at the Royal Society!) As I understand, you are the expert, it is this effect, that when you ride a bike, you never go completely straight, so you do not fall off the bike.

On Thu 20. Apr 2023 at 15:16 Jason K. Moore ***@***.***> wrote: Interesting page about debunking gyroscope misconceptions: http://www3.eng.cam.ac.uk/~hemh1/gyroscopes/htmlgyroscopes.html — Reply to this email directly, view it on GitHub <#5 (comment)>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/AT5MQUVRIQ7QHLMPF3SM5L3XCDWGRANCNFSM5AL3BQFA> . You are receiving this because you are subscribed to this thread.Message ID: ***@***.***>

-- Best regards, Peter Stahlecker

[moorepants]

Riccardo mentioned doing something about the vibration of the TU Delft tram (that caused the delays).

[Peter230655]

Riccardo mentioned doing something about the vibration of the TU Delft tram (that caused the delays).

I am somehow not 'clicking' :-(