Vector Functions: Problems Plus https://mes.fm/vector-functions-problems-plus & https://youtu.be/YJRehWJxcEY

In this video, I go over the end-of-chapter Problems Plus questions and solve 7 very advanced problems on vector functions. Three of the questions involve launching a projectile either on a flat, inclined, or declined plane. One question is on curvature, one on finding the equation of a plane, another is on rolling a ball off a table, and my favorite one is on finding the axial distance covered when wrapping a cable of known length around a spool of known diameter. Buckle up for 5 hours of mathematics!

#math #calculus #vectorfunctions #problemsplus #education

John Hutchison Interviewed by Tom Sky in his Vancouver Lab (2007) https://mes.fm/hutchison-tom-sky & https://youtu.be/eEBDSRqCkYk

In this video I have uploaded a rare 2007 interview of John Hutchison in his Vancouver lab apartment by photographer Tom Sky and his Polish engineer uncle. John also runs a Hutchison Effect experiment live for them, which levitates a plastic can and aluminum foil in the back. I also include later emails from Tom saying he felt strangely ill after witnessing the Hutchison Effect. Tom told me that he recovered by "grounding in nature" via walking in sand and water at the beach – he felt electrical discharge leave his body! Tom may join a future MES Livestream with John soon, so stay tuned!

This is rare footage that shows John recording and playing back experiment footage live to observers, as well as showing an extended look at John when he is operating the many radio and electromagnetic frequency controls!

#HutchisonEffect #antigravity #levitation #technology #physics

Hutchison Effect: 19 lb bushing levitates with linearly increasing acceleration – "Hyperforce” https://peakd.com/hive-128780/@mes/hutchison-effect-19-lb-bush-939 & https://youtu.be/7v_AYRCw5nU

In this video, I go over the famous 19-lb bushing Hutchison Effect levitation footage, which, when analyzed frame-by-frame, demonstrates a unique linearly increasing acceleration. This analysis was first done by George Hathaway in his book Mindbending, which Thomas Valone later coined the phrase "hyperforce" to describe it. Compare this with the force of gravity, which is constant. Note that Hathaway's results were obtained by taking derivatives of the position trendline, which was modelled as a cubic function. I compare these derivatives with direct measurements from the position data and obtain similar results. Note also that the 3rd derivative of position, or 1st derivative of acceleration, is termed jerk or jolt.

#HutchisonEffect #antigravity #acceleration #technology #physics

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

Kepler’s Laws of Planetary Motion https://youtu.be/_HIoMlTPD9Y & https://peakd.com/hive-128780/@mes/c3b94a80

In this video, I go over Johannes Kepler's three laws of planetary motion and derive them using Isaac Newton's second law of motion, F = m a, and his law on universal gravitation. While observing the Danish astronomer Tycho Brahe's astronomical observations, Kepler observed recurring patterns in the data, which he formulated as three laws:

1. A planet revolves around the sun in an elliptical orbit with the sun at one focus.

2. The line joining the sun to a planet sweeps out equal areas in equal times.

3. The square of the period of revolution of a planet is proportional to the cube of the length of the major axis of its orbit.

#math #vectors #calculus #astronomy #keplerslaws

🔬#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