Review of Vector Functions Chapter – Concept Check & True-False Quiz https://3speak.tv/watch?v=mes/review-of-vector-functions-138 & https://youtu.be/qQkC5yM7syM

In this video, I go over the concept check questions and true-false quiz as part of the review on the vector functions chapter from my calculus book. There are 9 concept check questions and 14 quiz questions, so try them out before I go over the solutions. I also use this as an opportunity to link back to my earlier videos on vector functions, as well as the very detailed thumbnails I made throughout these videos. If you do try the questions on your own, let me know how well you did!

#math #vectors #calculus #education #quiz

🔬#MESExperiments 55: Faraday's Paradox using Individual Magnets https://peakd.com/hive-128780/@mes/fa262e25 & https://youtu.be/VNCh1VvIrRU

In this experiment I once again demonstrate Faraday's Paradox, this time showing that rotating a strong magnet with a drill about it's polar axis doesn't move individual football shaped magnets. Each magnet is placed on a polished low friction glass mirror surface, and the football shape allows the magnets to freely rotate. Moving the strong magnet attached to the drill laterally easily moves the magnets, but rotating it barely even nudges the smaller magnets. This suggests that the magnetic field does not rotate about a spinning magnet.

#physics #experiment #electromagnetism #faraday

🔬#MESExperiments 54: SpillNot Centripetal Tray https://3speak.tv/watch?v=mes/863a9706 & https://youtu.be/eeQXcD3j4kE

In this experiment I showcase the amazing SpillNot centripetal waiter's tray, whose circular motion can balance a cup of water without spilling it over, even while performing a full 360 degrees upside down! The SpillNot works on the principle that circular motion involves a centripetal force that brings the tray back towards the centre of the circular motion — this results in the cup of water experiencing a normal force far directly onto the tray, which far exceeds the downwards force due to gravity. The most astonishing part is that even a straw placed in the cup barely even experiences any slight nudge as it moves at rapid speeds. I also place my phone in the tray with both front selfie camera and rear camera views to further illustrate this amazing phenomenon!  

#physics #experiment #centripetalforce #inertia

Motion in Space: Velocity and Acceleration https://3speak.tv/watch?v=mes/e443f9d3 & https://youtu.be/c9wE-BMvaY4

In this video, I go over further into vector functions, and this time look at motion in space in terms of the velocity, acceleration, and position of objects moving in 2D or 3D space. Using the fact that the rate of change of the position of an object is the velocity, and likewise that the rate of change of velocity is the acceleration, I show we can write the velocity and acceleration of an object just in terms of the derivatives of the position vector. Likewise, going backwards via vector integrals, we can obtain the velocity from the acceleration vector, and the position from the velocity vector.

#math #vectors #calculus #space #physics

Spherical Harmonics: Atomic Orbitals, Laplacian in Polar and Spherical Coordinates, Laplace Equation https://3speak.tv/watch?v=mes/220d6572 and https://youtu.be/p5SdobFPiKY

In this video, I go over a deep dive into the famous spherical harmonics, which are the solutions to Laplace’s equation in spherical coordinates and are very prevalent in physics, especially in the quantized configurations of atomic orbitals or the electron charge distribution around the atom's nucleus.

#math #sphericalharmonics #calculus #quantumphysics #science

🔬#MESExperiments 53: Synchronization of 32 Metronomes https://3speak.tv/watch?v=mes/718150d8 and https://youtu.be/a7Nwrt3O1JQ

In this video I have uploaded the famous synchronization of 32 metronomes experiment from the Ikeguchi Laboratory in Japan on September 14, 2012.

#physics #experiment #metronome #resonance