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Author Archives: Andy Rundquist
Constraint forces for path in 3D
This is a post mostly for my future self. What got me thinking about it was this comment about my planetary tunnels post: which is actually referring to a really old post of mine about how to dig a well. … Continue reading
Posted in math, mathematica
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Does the hoop hop?
I greatly enjoyed this recent video from StandUpMaths: The set up is a hoop with a mass attached at one point. It’s rough so it rolls without slipping. It’s released with some angular momentum with the extra mass starting at … Continue reading
Posted in general physics, math, mathematica, physics
1 Comment
Planetary tunnel oscillators
Pick a point on the earth and start digging. It doesn’t have to be straight down. Keep it straight (careful! it’s harder than you might think) and keep going until you come back to the surface. Ok, now drop a … Continue reading
Posted in general physics, mathematica, physics, teaching
2 Comments
Dropping ladders
My friend Rhett Allain has really got me interested in this ladder drop posted by Veritasium: Here’s Rhett’s awesome explanation: Of course I wanted to see if I could model it with Mathematica, and, after finding I could run Mathematica … Continue reading
Posted in general physics, mathematica, physics, teaching
2 Comments
Mathematica for free
In this post I’m going to try to capture the steps I took today to get a Jupyter Notebook to run Mathematica commands. I did it on a Windows laptop so if you’re on a Mac of Linux you’ll have … Continue reading
Posted in computational data science, mathematica, programming, teaching
11 Comments
Rolling without slipping on curved surfaces
I’ve been trying to see if I can model balls rolling on curved surfaces and I think I’ve cracked it. Here’s a teaser to get you interested: What you see is a sphere rolling on a curved surface. The blue … Continue reading
Posted in fun, general physics, mathematica, physics
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Situations that share equations of motion
Recently my friend Rhett Allain has been making some awesome videos showing how to solve complex problems with a Lagrangian approach. I love it when he posts a new video because it usually motivates me to try to model something … Continue reading
Posted in mathematica, physics
3 Comments
Rigid bodies, formulation and examples
My friend Rhett Allain gave me a good challenge recently with this tweet: I had been working on a problem that he posted about regarding a bead sliding freely on a hoop that is spinning about an axis in its … Continue reading
Posted in mathematica, physics, syllabus creation, teaching, twitter
1 Comment
Creating bike routes with python
This weekend my goal was to ride 50 miles to and from my house. In my last post I showed four ways to find where I could get to for a certain distance, but I really hate “there and back” … Continue reading
Posted in fun, math, programming, technology
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