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The 56-Year Argument About a Hopping Hoop

2023-02-27

[public] 31.6K views, 21.4K likes, dislikes audio only

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Thank you to BetterHelp for sponsoring this video! To get 10% off your first month of therapy, go to https://betterhelp.com/standupmaths to sign up today.

If you are need of urgent mental health support please check for crisis help lines available in your country.

USA: https://www.mentalhealth.gov/get-help/immediate-help

UK: https://www.nhs.uk/mental-health/advice-for-life-situations-and-events/where-to-get-urgent-help-for-mental-health/

Plus if you are in Europe you can search Mental Health Europe: https://www.mhe-sme.org/

Check out Ben's Hopping Hoop Geogebra file:

https://www.geogebra.org/m/ddsfjbvy

Thanks to Lisa Mather for making the hopping hoops for me. And an extra shout-out to Joel Tatarek-Gintowt for modelling and 3D printing the ball bearing casement.

Here are all the papers mentioned:

A Mathematicians Miscellany (1953) by John Littlewood

https://archive.org/details/mathematiciansmi033496mbp

The Hopping Hoop (1997) by Tadashi F. Tokieda

https://doi.org/10.1080/00029890.1997.11990614

Hopping Hoops Don't Hop (1999) by James P. Butler

https://doi.org/10.1080/00029890.1999.12005084

The Hopping Hoop Revisited (1999) by Timothy Pritchett

https://doi.org/10.1080/00029890.1999.12005094

The rolling motion of an eccentrically loaded wheel (2000) by W.F.D. Theron

https://doi.org/10.1119/1.1302324

The amazing variety of motions of a loaded hoop (2007) by W.F.D. Theron and M.F. Maritz

https://www.sciencedirect.com/science/article/pii/S0895717708000289

The dynamics of an eccentrically loaded hoop (2010) by Andrew Taylor and Mary Fehrs

https://aapt.scitation.org/doi/10.1119/1.3300613

CORRECTIONS

- Yes, I know, 08:33 worst cycloid ever. No need to tell me.

- At 12:23 I say "no friction" when I am talking about the hoop not skidding, and yes, that should be "infinite friction".

- Let me know if you spot anything else!

Huge thanks to my Patreon supports. They keep me rolling along. https://www.patreon.com/standupmaths

Filming and editing by Alex Genn-Bash

Props by Lisa Mather and Joel Tatarek-Gintowt

Written and performed by Matt Parker

GeoGebra and extra material/research by Ben Sparks

Hoop catching by Nicole Jacobus

Dog wrangling by Lucie Green

Hoop chasing by Skylab the Dog

Music by Howard Carter

Design by Simon Wright and Adam Robinson

MATT PARKER: Stand-up Mathematician

Website: http://standupmaths.com/

US book: https://www.penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker/

UK book: https://mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback


Stand-up Maths I do mathematics and stand-up. Sometimes simultaneously. Occasionally while being filmed. (It's quite the Venn diagram.) Principle channel supporter: Jane Street https://www.janestreet.com/ http://standupmaths.com http://twitter.com/standupmaths
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