Mechanics

Module 1: Mathematical Foundations  ·  Practice  ·  assumes Foundation 7 Three worked examples where the graph is the question — not an illustration of it. What this set is for Every earlier example described a graph in words and then computed from the description. That is not how the graph questions in an examination work. … Read more

Module 1: Mathematical Foundations  ·  Practice  ·  assumes Foundation 10 Four worked examples on the approximation JEE uses most — including the one where Newton’s mechanics falls out of Einstein’s. What this set is for Foundation 10 called (1 + x)n ≈ 1 + nx the most used approximation in JEE physics and then demonstrated … Read more

Module 1: Mathematical Foundations  ·  Practice  ·  assumes Foundations 2 and 4 Five worked examples where resolving vectors is the whole method — steering into a current, holding a load still, and choosing between two good answers. What this set is for Resolution and relative motion are the two things from Foundation 4 that JEE … Read more

Module 1: Mathematical Foundations  ·  Practice  ·  assumes Foundations 5 and 6 Five worked examples on the two vector products — projection, power, torque in three dimensions, and angular momentum. What this set is for The earlier worked examples treated the dot product only as a way of computing work, and the cross product only … Read more

Module 1: Mathematical Foundations  ·  Practice  ·  assumes Foundation 9 Six worked examples on integration — what it is, the two techniques worth knowing, and the identity that removes time from a problem. What this set is for Foundation 9 introduced substitution and integration by parts once each, and Foundation 11 called a dx = … Read more

Module 1: Mathematical Foundations  ·  Practice  ·  assumes Foundations 3 and 8 Six harder examples on one operation: differentiating when the basis vectors themselves are turning. What this set is for Foundation 8 derived the two results everything here rests on: dr̂/dt = θ̇θ̂ and dθ̂/dt = −θ̇r̂, and from them the velocity and acceleration … Read more

Module 1: Mathematical Foundations  ·  Practice  ·  complements Foundations 2, 3, 4 and 7 Seven examples on the one question this module keeps returning to: what belongs to the physics, and what belongs to the description. What this set is for The first worked-examples post took one problem from each Foundation and covered the standard … Read more

Module 1: Mathematical Foundations  ·  Practice  ·  complements Foundations 1–11 One worked example for each Foundation — the calculation in full, and the question a physicist would ask around it. How to use this page Every example is set out in three parts. The Physics asks what is happening, before any symbol is written. The … Read more

Module 1: Mathematical Foundations  ·  Reference  ·  consolidates Foundations 1–10 Everything from this module in one place — built for scanning, not for reading. What this module gave you Ten readings, and underneath them a single argument. Physics describes the world with mathematics, and every description carries a domain outside which it stops being true. … Read more

Module 1: Mathematical Foundations  ·  Theory  ·  assumes Foundation 8 The techniques that make hard problems solvable — and the discipline of knowing when they stop working. Mahavakya There is no exact treatment of anything. Every problem you have solved was an approximation — the skill is knowing which one you made. On this page … Read more