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Category Archives: physics
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
Brachistochrone for rolling things
The Brachistochrone curve is the shape of a wire for beads to slide down (friction free) to get from point A to point B the fastest. Note that since I used the word “down” there I’m implying this happens in … Continue reading
Posted in math, mathematica, physics, teaching
3 Comments
Catenary with Lagrange Multipliers
The catenary is the shape of a hanging chain supported at both ends in a constant gravitational field (ie normal life). Recently Rhett Allain has been doing some great work using both python and analytical results to show how you … Continue reading
Posted in mathematica, physics
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Physics Teachers Are Awesome
I’ve started a project that brings me joy. I’m hoping to help spread that around! I was looking around for ways that I could support physics teachers who were working so hard to teach during this pandemic. I was reflecting … Continue reading
Boltzmann to Blackbody to Electoral College
Ok, I know that’s a weird title, but bear with me, this has some fun stuff in it, including some things I still need help with. The basic idea is that Planck’s solution to Blackbody radiation is an interesting way … Continue reading
Fast Quantum Tunneling Method
This post describes a way to calculate tunneling probabilities for one dimensional quantum barriers. This method is easy to code up, and is very fast. Consider the following barrier. If your energy is less than 3 eV, you’ll just reflect … Continue reading
Posted in mathematica, physics, research, teaching
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One die to rule them all
For a number of years I’ve been working on finding ways to turn what looks like an unfair die to a fair one (see these posts). Recently I’ve made a lot of progress. This post shows how I’ve turned a … Continue reading
Posted in fun, mathematica, physics, research
4 Comments
Shooting circuits
I’ve posted before about how I struggle teaching complex circuits (really just circuits that contain batteries and resistors in ways that can’t be analyzed with parallel and series tricks). There you’ll read about how I find that if I just … Continue reading
Posted in general physics, physics
8 Comments