Oral Maths Physique - Sujet Grand

My answer was a disaster. I wrote about beauty. I wrote about history. I wrote nothing about , tension , or Young’s modulus .

"The convolution integral," I said. "The memory of the fire, imprinted on the stone."

This is the story of how I used a second-order differential equation to prove that the impossible could be rebuilt. Three weeks before the fire, I had failed my mock physics exam. My teacher, Monsieur Delacroix, had drawn a simple arch on the blackboard. "Explain the stability of the Romanesque vault," he said. Sujet Grand Oral Maths Physique

I solved the characteristic equation. I calculated the discriminant. I showed them the Fourier transform of the fire’s temperature.

[ m\frac{d^2x}{dt^2} + c\frac{dx}{dt} + kx = F_{\text{thermal}}(t) ] My answer was a disaster

I grabbed my math notebook. I modeled a single limestone voussoir (a wedge-shaped stone in the arch) as a :

I wrote:

I left his office humiliated. That night, I opened my math textbook to the chapter on —specifically, the harmonic oscillator and its general form: