Starter track
Follow the authored sequence, or switch to recap mode for a faster review of the same path.
Start with torque as the turning effect of force, use centre of mass and support region for static balance, then carry the same rotational language into moment of inertia, rolling motion, and angular momentum.
Entry diagnostic
Reuse the torque bridge quick test and the heavy-load balance checkpoint to decide whether to start from turning-effect basics or jump straight into mass-distribution response.
Check the turning-to-balance bridge first
Motion and Circular Motion is the authored prerequisite for Rotational Mechanics. Vectors and Components opens this track and sets up the rest of the path. Nothing is hard-gated here; this is simply the clearest setup before the track opens.
Uses the same local-first quick tests, checkpoint challenges, and track history already saved in this browser.
Check whether lever arm, perpendicular force, and turning effect already feel like one geometry story.
No saved quick-test result yet.
Starting from Tips right, move the support centre until the plank is stable again.
No saved checkpoint attempt yet.
About this track
Keep the first scan focused on the next lesson. Open the authored rationale and shared-framework notes only when you need them.
Why this order
Torque comes first because every later rotational step depends on reading where a force acts and how that creates turning effect. Static Equilibrium / Centre of Mass keeps that same torque story visible in a supported object, Rotational Inertia / Moment of Inertia turns the branch back toward spin response, Rolling Motion makes that inertia visible in one gravity-driven race, and Angular Momentum closes by showing how radius and spin rate trade when the rotational momentum story has to stay coherent.
Shared concept pages
Compare mode, prediction mode, quick test, worked examples, guided overlays, challenge mode, and read-next cues stay on the concept pages. The track only decides the guided order and the next recommended stop.
Guided path
Checkpoint cards reuse the authored challenge entries already living on the concept pages.
Push on one pivoted bar and see how lever arm distance, force direction, and turning effect stay tied to the same compact rotational bench.
Start here before moving into Static Equilibrium / Centre of Mass.
Shift one support region under one loaded plank and see how centre of mass, support reactions, and torque balance decide whether the object stays stable or tips.
Builds on Torque before setting up Rotational Inertia / Moment of Inertia.
Starting from Tips right, move the support centre until the plank is stable again.
Finish Static Equilibrium / Centre of Mass first. This checkpoint ties together Torque and Static equilibrium through Recover equilibrium.
Pause here after Static Equilibrium / Centre of Mass before moving into Rotational Inertia / Moment of Inertia.
Keep the same total mass and torque, then slide equal masses inward or outward to see why moment of inertia makes some rotors much harder to spin up than others.
Builds on Static Equilibrium / Centre of Mass before setting up Rolling Motion.
Roll a sphere, cylinder, hoop, or custom mass distribution down one incline and see how rolling without slipping ties translation, rotation, and rotational inertia to the same honest run.
Builds on Rotational Inertia / Moment of Inertia before setting up Angular Momentum.
Open compare mode and make Setup B finish much later than Setup A while keeping both setups on the same slope and radius.
Finish Rolling Motion first. This checkpoint ties together Rotational inertia and Rolling motion through Same ramp, different finish.
Pause here after Rolling Motion before moving into Angular Momentum.
Treat angular momentum as rotational momentum on one compact rotor where mass radius and spin rate stay tied to the same readouts, response maps, and same-L conservation story.
Capstone step after Rolling Motion.
Open compare mode and make Setup A compact and Setup B wide while keeping their angular momenta nearly matched.
Finish Angular Momentum first. This checkpoint ties together Rotational inertia and Angular momentum through Same L, different spin.
Final checkpoint that closes the authored track after Angular Momentum.
