In this video, we derive the catenary curve using physics and calculus, explaining how a hanging cable reaches equilibrium under gravity. Step-by-step reasoning connects forces, differential equations ...

In this video, we explain the capstan equation and how friction affects a rope or string wrapped around a surface. You’ll learn where the equation comes from, what each term means, and how it’s ...

Equations are the bedrock of science, expressing how numbers or physical properties relate at a fundamental level. Without equations, most of our technology would never have been invented. We may have ...

Maxwell’s equations of electromagnetism and the Euler equation top a poll to find the greatest equations of all time. Robert P Crease discusses the results of his reader survey First among equals – ...