The Catenary - Mathematics All Around Us.
The catenary is the natural shape of a free hanging rope or chain and can be found everywhere. From the the wires of a pylon to the thread of a spider's web. From the world of bubbles to the world of architecture. What is the catenary and why is it all around us? Presented by James Grime
From playlist My Maths Videos
Calculus 2: Hyperbolic Functions (46 of 57) What is a Catenary? Part 1of 4
Visit http://ilectureonline.com for more math and science lectures! In this video I will derive the Cartesian equation that will describe the distance above the x-axis y=sqrt(s^2+c^2): Part 1 of 4. Next video in the series can be seen at: https://youtu.be/yBA-d1RJaf0
From playlist CALCULUS 2 CH 16 HYPERBOLIC FUNCTIONS
What's a catenary? Geometry Terms and Definitions
An introduction to the geometric term "catenary." Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socrat
From playlist Socratica: The Geometry Glossary Series
Calculus 2: Hyperbolic Functions (50 of 57) What is a Catenary? Summary
Visit http://ilectureonline.com for more math and science lectures! In this video I will summarize all the equations that we have derive used to solve the curve assumed by a cable hanging under its own weight. Next video in the series can be seen at: https://youtu.be/_BFziEghsOA
From playlist CALCULUS 2 CH 16 HYPERBOLIC FUNCTIONS
Calculus 2: Hyperbolic Functions (49 of 57) What is a Catenary? Part 4 of 4
Visit http://ilectureonline.com for more math and science lectures! In this video I will derive the equation to calculate the tension of the cable at any point along the cable. Part 4 of 4. Next video in the series can be seen at: https://youtu.be/9vu83HMCRTA
From playlist CALCULUS 2 CH 16 HYPERBOLIC FUNCTIONS
Mechanical Engineering: Ch 10: Forces on Cables (16 of 33) Catenary - Inverse Hyperbolic Sine
Visit http://ilectureonline.com for more math and science lectures! In this video I will derive y=sinh-1(y) and therefore x=sinh(y) where y=vertical sag of a catenary cable. Next video in this series can be seen at: https://youtu.be/CQhpXErC6xs
From playlist MECHANICAL ENGINEERING 10: FORCES ON CABLES
Ring Definition (expanded) - Abstract Algebra
A ring is a commutative group under addition that has a second operation: multiplication. These generalize a wide variety of mathematical objects like the integers, polynomials, matrices, modular arithmetic, and more. In this video we will take an in depth look at the definition of a rin
From playlist Abstract Algebra
Calculus 2: Hyperbolic Functions (47 of 57) What is a Catenary? Part 2 of 4
Visit http://ilectureonline.com for more math and science lectures! In this video I will continue to derive the equation that will describe a hanging cable in terms of a hyperbolic function: Part 2 of 4. Next video in the series can be seen at: https://youtu.be/mKE0CINVCUI
From playlist CALCULUS 2 CH 16 HYPERBOLIC FUNCTIONS
Definition of a Ring and Examples of Rings
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Ring and Examples of Rings - Definition of a Ring. - Definition of a commutative ring and a ring with identity. - Examples of Rings include: Z, Q, R, C under regular addition and multiplication The Ring of all n x
From playlist Abstract Algebra
Julius Sumner Miller: Lesson 9 - Soap Bubbles and Soap Films
Soap Bubbles and Soap Films are not for child's play alone. Their study reveals some very important principles of Nature. Principal among these is this: That the Energy of a System tends toward Least. That is - the Energy of a System left to itself goes downhill. This is why raind
From playlist Julius Sumner Miller - Full Physics Laboratory Demonstrations
The Catenary (hanging chain), how it was first solved.
The catenary is the mathematical shape of a hanging chain. Describing this shape is one of the famous original problems of calculus. I discuss the history of the problem, how it was determined that the curve was not a parabola, how to model the curve with a differential equation based on t
From playlist Tricky Parts of Calculus
From Conic Sections to Catenary
This video explains a poster I made for #SoME2. You can download the poster here: https://drive.google.com/file/d/1MwoKIXlgdb_6VbLUJnlLIeR3wqb0WIlj/view?usp=sharing While mathematics is already being taught in visual ways, I have noticed that no one is making posters capturing at once mul
From playlist Summer of Math Exposition 2 videos
Code - Seminar 21 - Ethan Curtiss (Astrocode) on catenaries
This week Ethan Curtiss (Astrocode) introduces catenaries, the mathematical function that describes strings suspended from two points. Actually solving for a catenary connecting two points in 3D involves some clever numerical tricks; all of this is then implemented in Roblox Studio. The w
From playlist Code seminar
From playlist Hyperbolic Trigonometric Functions
A Catenary Arch - Mr. Wizard's Oddity
Mr. Wizard explains why Catenary arches are so strong. Subscribe now for more science, nature and technology clips from the 1980's Nickelodeon show, Mr. Wizard's World, every week on #WizardWednesdays. SUBSCRIBE HERE: http://bit.ly/mrwizard
From playlist Oddity