Showing somewhat of the astonishing complexity of the range of possible behaviour of – ie the complexity of the range of solutions of the equations of motion of – a rolling wobbling disc.


Showing somewhat of the astonishing complexity of the range of possible behaviour of – ie the complexity of the range of solutions of the equations of motion of – a rolling wobbling disc.


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About the Author: livescience

4 Comments

  1. Late to the party.

    First, the wobbling is cool. Kinda reminds me of when objects flip back and forth in space when rotating about an axis that is not the most stable inertially.

    Second, I’m assuming English isn’t your first language based on the accent that snuck into your comment. You have GOT to slow down with your sentences. Break them up more with periods and commas, forget that colons and semicolons exist, and town down the complex word choices. You manage to say very little that way with a lot of words.

  2. I wonder what a trace along the ground would look like? It almost looks like there is a discontinuity in there jumping from one diameter point to its opposite…

    Traces along the midpoint of the disk and 4 corners would be interesting too.

    Cool graphic!

  3. Infact I’m not sure what the parametrisation of the kinematic of this motion would be! … it would be quite fiddly to formulate, I should think.

     

    This is from Wikimedia Commons –

    #####https://commons.m.wikimedia.org/wiki/File:Euler-disk.gif
    #####
    ; & I try to avoid plucking stuff from Wikipedia: not because of any lack of quality – infact the quality is nearly always superb _and_ the stuff is fully in Public Domain – but just because it’s alltoo easy to find – which is good in itself; but I prefer to post stuff the person seeing it mightwell not have found. But in this case, there is a _woeful_ absence online of anything even remotely like this.

     

    The wobbling rolling disc is one of those physics problems that transpires just _colossally_ complicated relative to its formulation: it’s complicatèdity is just _massively_ out of proportion to what the formulation of the problem would on the face of it _indicate_ it _should_ be.

    A few links to some theses dealing with the matter.

     

    #####http://www.janjachnik.com/files/AnUnbalancedDisk.pdf
    #####
     

    #####https://www.hep.princeton.edu/~mcdonald/examples/rollingdisk.pdf
    #####
     

    #####http://www.diva-portal.org/smash/get/diva2:927875/FULLTEXT01.pdf
    #####
     

    The next two concentrated on the ‘rattly chirp’ the disc performs at the end of its motion.

     

    #####https://arxiv.org/pdf/1611.00070.pdf
    #####
     

    #####https://core.ac.uk/download/pdf/25306407.pdf
    #####

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