WE-9 — Worked Examples: The Deceptively Simple
The simplest topics are where the wrong method is hardest to notice, because the arithmetic looks reasonable either way.
Mechanics
Master the foundations of statics, kinematics, Newtonian dynamics, work-energy principles, momentum, rotational motion, gravitation, and fluid mechanics with rigorous step-by-step MathJax derivations and advanced practice problems.
C-2 — The Techniques, By Name
A name is how a method travels. Without one you can use a tool in the place you learned it, and nowhere else.
C-1 — Beyond Acceleration: Jerk, Snap and the Rest.
A derivative is not inherently velocity. It becomes velocity because position is what we chose to differentiate.
WE-8 — Worked Examples: Limits and Boundaries
A limit is not the end of a calculation. It is a fact about the motion, and often the only fact worth having.
WE-7 — Worked Examples: Which Direction to Resolve Along
The skill is not how to resolve. It is knowing what to resolve onto, and when not to.
WE-6 — Worked Examples: Constraints Without Strings
There was never a rule to remember, only a geometry to differentiate.
WE-5 — Worked Examples: Frames, Journeys and Motion in Stages
Module 3: Kinematics · Worked Examples · Prerequisites: K1, K7, K10 Five problems about the two things a description of motion needs before any equation: where you are measuring from, and when the rule changes. Mahavakya Move the origin and every position changes. Displacement does not. What survives a change of description is what was … Read more
P6 — Frames, Constraints and Coupled Motion
Module 3: Kinematics · Practice · Engineering entrance level · 24 questions · 40 minutes Frames, Constraints and Coupled Motion Twenty-four questions weighted towards the parts the other papers touch least — reference frames, strings and pulleys, wedges, and motion in stages. Several of these give a constraint as an equation rather than a picture … Read more
P5 — Engineering Practice: Kinematics Numerical
Module 3: Kinematics · Practice · Engineering / University level · 20 questions · long answer Engineering Practice: Kinematics Numerical Twenty multi-part problems at university engineering level — calculus throughout, and several that reward choosing the right variable to integrate against. Show the working, not just the answer. Several of these have a part that … Read more
P4 — JEE Advanced Practice: Kinematics Numerical
Module 3: Kinematics · Practice · JEE Advanced level · 15 questions · long answer JEE Advanced Practice: Kinematics Numerical Fifteen problems at Advanced level. Several are quicker by structure than by algebra — and one has no solution, which is the answer. Show the working, not just the answer. Several of these have a … Read more