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 – ...

The rapid acceleration of the universe’s expansion continues to challenge our understanding of fundamental physics. Why the ...

Quantum physics didn’t set out to explain the mind. It set out to explain matter. And yet, the deeper scientists went into ...