After all this time, my free textbook on qualitative dynamics and chaos is finally done! #math#dynamics
Access it on my webpage (https://t.co/Yj3trwNSQp) or on Google Books/Play (https://t.co/39ZLycssC8). (🧵, 1/7)
What are the dynamics of a mass being "reeled in", like a fish on a fishing rod or a box hoisted by a crane?
Using an idealized model—we see pendulum-like behavior, with a slow increase in oscillation frequency over time, until the mass swings wildly around the pin! #dynamics
Here's a microlesson on the last #dynamics problem I whipped up for my students before the end of the semester:
Can you figure out how to pilot this ship?
Are you interested in learning about fluid mechanics but aren't interested in eye-watering textbook prices?
Consider my 100% free textbook on fluid mechanics!
Read it in PDF book form (https://t.co/HS0lnESaxp) or in blog form (https://t.co/4bch4xPPre). #engineering#fluids
I'm coming out of Twitter hibernation to post a microlesson on a confusing but fascinating topic:
What are some different types of infinities, and how do you tell which is which? #math
1000 years back, when Mohamed Ghazni plundered, Somnath Temple, he found a Lingam revolving above the pedestal without any support like this. Probably the ancient Hindus knew this physics well.
#ancientcivilizations#hindutemple
@mgroppe@USATODAY I do this too. Biden’s inner N95 looks very much like a dust mask I have which has a valve. The dust mask protects me but does nothing to protect others from my exhalations. That’s why I wear a surgical mask over it.
This year, amid global conversations and protests regarding the policing of Black bodies, #Juneteenth takes on added meaning.
Tomorrow, join Caltech Center for Diversity at one or both of the day's events honoring Juneteenth (events listed in thread):
Rand Paul tried to lecture Black lawmakers on the definition of lynching. Kamala Harris delivered her response. I was going to take a snippet from the 7 minutes to highlight but I couldn’t. The entire speech is powerful and one that’ll go down in history.
Science is a fundamentally human endeavor, whose purpose is to help us understand the world, better our lives, feed our innate curiosity. It is meaningless, empty, and toxic if placed above or in opposition to human rights and human lives. Humanity and justice must come first.
Fantastic micro-lesson on why you can stably spin a book along two of its axes but not its third axis, by my dexterous friend Arnaldo Rodriguez-Gonzalez.
Have you ever noticed that it's tough to flip a book by its short edge without also changing the cover orientation?
If you'd like to understand why, here's a microlesson on the #physics of rotation!
Have you ever noticed that it's tough to flip a book by its short edge without also changing the cover orientation?
If you'd like to understand why, here's a microlesson on the #physics of rotation!