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InertialObservr's profile
〈 Berger |🎄| Dillon 〉
〈 Berger |🎄| Dillon 〉
〈 Berger | 🎄| Dillon 〉
@InertialObservr

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〈 Berger | 🎄| Dillon 〉

@InertialObservr

Dillon Berger, PhD | Physicist | Modeler of Sports⚾️🏀 | Maths Moonlighter

DC → CA → NY
youtube.com/c/InertialObse…
Joined August 2015

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    〈 Berger | 🎄| Dillon 〉‏ @InertialObservr 21 Jul 2019

    A straight line may be the shortest 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 between two points, but a "Brachistochrone" curve is the path of least timepic.twitter.com/aWPoz9X6i9

    12:06 PM - 21 Jul 2019
    • 3,094 Retweets
    • 10,978 Likes
    • Riya kapoor DJ Pradeep Fonsi Chen izzy declarador A C C O U N T A B I L I T Y Aniceto Ogumoro Άντζελα Sumeet Khanna Rohit Reddy
    153 replies 3,094 retweets 10,978 likes
      1. New conversation
      2. 〈 Berger | 🎄| Dillon 〉‏ @InertialObservr 21 Jul 2019

        A "Cycloid" curve is one for which all objects take the 𝑠𝑎𝑚𝑒 amount of time to reach the bottom • If this seems counterintuitive, remember that 𝑚𝑔ℎ=½𝑚𝑣², and so objects starting higher will have a larger final velocitypic.twitter.com/EV4ZzT6YFo

        12 replies 231 retweets 1,076 likes
        Show this thread
      3. 〈 Berger | 🎄| Dillon 〉‏ @InertialObservr 21 Jul 2019

        A Cycloid curve is also called a "Tautochrone" (meaning equal time) Mathematically, the Brachistochrone and the Cycloid are the same curve, but they arise from slightly different but related problems (equal time & least time) Brachistochrone ⇔ Cycloid Tautochrone ⇔ Cycloid

        5 replies 31 retweets 287 likes
        Show this thread
      4. 〈 Berger | 🎄| Dillon 〉‏ @InertialObservr 21 Jul 2019

        We learn in high school that the "period of a pendulum is independent of its amplitude"--i.e that it's isochronus. • This isn't quite true; it's only true for *small* angles θ • In reality, a pendulum's period is only independent of its amplitude if it moves along a cycloidpic.twitter.com/d1Vh1VlJ9u

        14 replies 101 retweets 598 likes
        Show this thread
      5. 〈 Berger | 🎄| Dillon 〉‏ @InertialObservr 21 Jul 2019

        gif credits: Brachistochrone: Robert Ferréol (Wikipedia) Tautochrone: Claudio Rocchini (Wikipedia) Pendulum : Rem088roy (Wikipedia)

        2 replies 10 retweets 145 likes
        Show this thread
      6. 〈 Berger | 🎄| Dillon 〉‏ @InertialObservr 21 Jul 2019

        A Cycloid is the curve traced out by a point on a rolling wheelpic.twitter.com/3BgmeSPDQF

        3 replies 44 retweets 365 likes
        Show this thread
      7. 〈 Berger | 🎄| Dillon 〉‏ @InertialObservr 21 Jul 2019

        gif credit: Cycloid rolling (last gif): IchibanPL (Wikipedia)

        1 reply 7 retweets 86 likes
        Show this thread
      8. End of conversation
      1. New conversation
      2. ☯︎‏ @johnnygrayview 21 Jul 2019
        Replying to @InertialObservr

        sick viz bra

        1 reply 0 retweets 7 likes
      3. 〈 Berger | 🎄| Dillon 〉‏ @InertialObservr 21 Jul 2019
        Replying to @johnnygrayview

        not mine

        1 reply 0 retweets 10 likes
      4. Show replies
      1. New conversation
      2. needs more beer‏ @suckless_shill 21 Jul 2019
        Replying to @InertialObservr

        The Brachistochrone curve is also the Tautochrone curve: any body positioned in any different points in the curve, and affected only by local gravity, hits its end in the same time. (animation from Wikipedia, heheh)pic.twitter.com/1BWBhbvaJz

        3 replies 2 retweets 38 likes
      3. 〈 Berger | 🎄| Dillon 〉‏ @InertialObservr 21 Jul 2019
        Replying to @suckless_shill

        Yes! I was adding that to the thread when you posted!

        2 replies 1 retweet 10 likes
      4. Show replies

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