A rope that's hung up between two points forms a shape called a catenary. I'll show you how to derive it from start to finish. Get the notes for free here: https://courses.physicswithelliot.com...

When you hang up a rope between two points under the weight of gravity, it makes a distinctive arclike shape that anyone can instinctively recognize. In this video, I'll show you how to actually derive the shapeand find the mathematical function that describes itusing F = ma and a little calculus.

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About the classic physics problem series:
In these introtointermediatelevel physics videos, I'll discuss classic physics "challenge" problems that you might meet in your introductory mechanics and electromagnetism classes. They might be based on simple concepts, but these problems can still get pretty tough!

About me:
I’m Dr. Elliot Schneider. I love physics, and I want to help others learn (and learn to love) physics, too. Whether you’re a beginner just starting out with your physics studies, a more advanced student, or a lifelong learner, I hope you’ll find resources here that enable you to deepen your understanding of the laws of nature. For more cool physics stuff, visit me at https://www.physicswithelliot.com.