Imagine a circular wheel rolling, without skidding, on a flat, horizontal surface. The #locus of any given point on its #circumference is called a #cycloid. It is a #periodic #curve over a length equivalent to the #circle's circumference and has #cusps whenever the point is in contact with the surface (i.e. the two sides of the curve are tangentially vertical at that point).

Interestingly, it is also the curve that solves the #Brachistochrone problem, which means that starting at a cusp on the inverted curve (maximum height), a frictionless ball will roll under uniform gravity in minimum time from the start to any other point on the curve, even beating the straight line path.

#Mathematics #Geometry #Maths #AppliedMathematics #Mechanics #Kinematics #Dynamics #Physics #MyWork #CCBYSA #WxMaxima

Anthony Kurtz | Senegal's First Female Auto Mechanics (2011)

#AnthonyKurtz #auto #mechanics #woman #portrait #dakar #senegal #photo #art

Anthony Kurtz | Senegal's First Female Auto Mechanics — Anthony Kurtz | Berlin-based Portrait Photographer

In 2011, I portrayed some of the first female auto-mechanics in Dakar, Senegal. Together with their male coworkers, they have been working relentlessly to fix outdated traditions, one car at a time.

#quantum #mechanics
Oh, so wonderful.
Quantum Entanglement

https://www.youtube.com/watch?v=D_tOt9w7yyE
#Mind-bending #Secrets #Of The #Universe Explained Simply ft. #Abhijit ...
14 May 2021 ... ... #pluto in 1970s 21:55- How science figured Gas giant planets are dangerous 24:05- What are #Quantum #mechanics 26:34- #Ranveer on Xmen movie's .

This series is well produced and quite understandable

Source: https://youtube.com/watch?v=aPHelsoq4pg

Science of #Bliss and #Kundalini - Part 1 - #Biological #Mechanics with #DanWinter (1 of 6)

#Music on #Red-Cosmic-Earth

#MikeRutherford 10/2/1950 #Birth English musician. He is a founding member of Genesis.

https://www.youtube.com/watch?v=5hr64MxYpgk
#Mike + The #Mechanics - The #Living #Years (Official #Video)

I was explaining to my wife how the #velocity #components of an idealized #projectile differ. She was having some problems understanding that only the #vertical component changes and that the #horizontal component remains constant. In the end, I knocked up this little animation to tr and explain pictorially (the program in #WxMaxima is actually interactive. so you can stop it, step through it or run it backwards if that helps).

#Maths #Mathematics #Mechanics #ConstantAcceleration #Vectors #Dynamics #MyWork #CCBYSA #FreeSoftware

See the Forbidden Cigarette Machine in Action

#toolhacks #3dprinting #mechanics #mechanism #packing #hackaday
posted by pod_feeder_v2

See The Forbidden Cigarette Machine In Action

[Fraens] has been designing a number of fantastic 3D printed machines and making great videos that demonstrate how they work. The last installment was an automatic cigarette stuffing machine, and i…

It's straightforward to calculate the #components of a #2D #vector given that you have a pre-defined set of #axes. Often, we talk about #cartesian #coordinates. If the vector changes, whether in #magnitude or #direction, we can calculate the updated components too. The converse question is what if the the vector is held constant and you change or #rotate the axes? The components in the new coordinate system can be found with a little bit of #trigonometry and #algebra. As vectors are #first-order #tensors, they are much simpler to calculate than quantities like stress for which I've also made an animation for if you search for the hashtag #tensors.

In this animation, you can see the components changing as the axes go through a full rotation.

#MyWork #CCBYSA #Mathematics #Mechanics

In #SolidMechanics, #stress has some counter-intuitive properties, particularly when you rotate the coordinate system. The values of normal and shear stress transform according to the rules of #second-order #tensors, which is a step above #vectors (first-order tensors). To avoid always having to use #matrix #algebra to find the components, #engineers and #mathematicians have long used the Mohr's circle to evaluate them. This is a very handy tool and allows you to find the new values by using circular geometry instead.

Here, I've used #WxMaxima to create this #animation.

#Mechanics #Mathematics #Engineering #MohrsCircle #FreeSoftware

In the #2D #elasticity, #equilibrium of #stresses can be represented on an infinitesimal rectangular element with components of both #DirectStress and #ShearStress generally acting on all four edges. If you were to rotate the rectangle, the stresses change in a precisely orchestrated fashion. In the orientation where the shear stress components vanish, we get what are called #PrincipalStresses and they and their directions can be ascertained precisely through #eigenvalue analysis. This little graphical demonstration shows one example of such a state. The #AnimatedGif was produced a routine written in #WxMaxima.

#Mathematics #TheoryOfElasticity #Mechanics #SolidMechanics #Engineering #MyWork #CCBYSA #WorkInProgress

Noam Chomsky - The 5 Filters of the Mass Media Machine

https://www.youtube.com/watch?v=34LGPIXvU5M

' #AmyGoodman narrates a short video piece based on #NoamChomsky’s #book “ #ManufacturingConsent”, a seminal work on #mainstream #journalism and its role in the #mechanics of #power.' According to #Chomsky, media operate through #5 #filters: #ownership, #advertising, the #media #elite, #flak and the #common #enemy. #analysis #propaganda #machine #msm #profit #freedom #democracy

The Incredible Mechanical Artistry Of François Junod

#art #automata #automaton #mechanics #mechanisms #hackaday
posted by pod_feeder_v2

The Incredible Mechanical Artistry Of François Junod

The art of building purely mechanical automatons has dramatically declined with the arrival of electronics over the past century, but there are still a few craftsmen who keep the art form alive. [F…