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Week 3 · Forces
- Lesson, on the whiteboard
- Quiz, 12 questions
- Flashcards, 18 cards
- Practice, 6 problems
- Audio episode, 11 min
- Teach it back to Yuki
Study it eight ways.
Mode 1 of 8: Lesson
Lesson
01Yuki walks you through it on a whiteboard, narrating as she draws.
• weight mg points straight down
• split it: along the slope and into it
normal force = mg cos θ
not mg — the surface only holds up part of it
friction f = μ · N = 0.2 · 17.0 = 3.4 N
along the slope, against the slide — never μ · mg
Does that make sense so far?
Friction acts along the slope, and its size depends on that smaller normal force, not the full weight.
A tutor built on the research.
Yuki runs the Feynman technique on you: you explain it back, she probes until she finds the exact gap, teaches just that, and checks it stuck. Every step of the loop is backed by the studies below.
- Improving students’ learning with effective learning techniquesDunlosky, Rawson, Marsh, Nathan & Willingham · Psychological Science in the Public Interest, 2013
- Teachable agents and the protégé effectChase, Chin, Oppezzo & Schwartz · Journal of Science Education and Technology, 2009
- The relative effectiveness of human tutoring, intelligent tutoring systems, and other tutoring systemsVanLehn · Educational Psychologist, 2011
You said the derivative measures how fast something changes. Fast compared to what?
Compared to… time?
Sometimes. Here it’s compared to x. Let’s try one where that difference matters.
Yuki spotted something to revisitShaky on rate of change
You read “rate of change” as rate over time. Here the variable is x, not t.
What she remembers
- ConfirmedDerivative as a rate of change.
- Watch out“Rate of change” read as rate over time.
- Next sessionStarts from here, not from scratch.
explain it back — derivatives
Everything else you’d expect. And a few things you wouldn’t.
Study plan & exams
Syllabus dates become a day-by-day plan, then a timed practice paper when you’re ready.
Friday’s timed paper unlocks once the two open checkpoints are captured.
Goals
One target per session, broken into checkpoints and kept on the clock.
own it · 25 min
The chain rule — a function inside another.
explain it
Why does dy/dx pick up a factor of 3 in y = sin(3x)?
a way in
What is the inner function doing to x before sin sees it?
listening to your explanation…
Artifacts
A simulator, calculator or diagram built for the exact idea you’re stuck on.
Called it. Now the model answers to your hands.
secant slope = 2.50 (h = 0.50)
Smart Notes
Key terms, links between topics and the parts that matter, picked out while you read.
On flat ground the normal force balances weight exactly. Tilt the surface and it only balances the part pressing into it, so it drops to mg cos θ.
Assignments
Upload the problem set. Every question becomes its own worksheet, typed or from a photo of your handwriting.
- Q1Equation of motion for a damped oscillatorDone
- Q2Work done by friction on an inclineWorking
- Q3Conservation of angular momentumLocked
Resources & find online
Every file in the class in one list, plus videos and articles from the web.