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Follow the authored sequence, or switch to recap mode for a faster review of the same path.

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Starter track5 concepts3 checkpoints130 min

Rotational Mechanics

Not started

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.

Use this track when the new rotational pages should feel like one coherent mechanics branch instead of separate shelves. The path starts with torque as the cause of turning, uses static equilibrium and centre of mass to keep that same torque language honest in balance problems, then returns to rotational response through moment of inertia, rolling without slipping, and angular momentum as the conserved rotational analogue of momentum.

Torque and lever armsCentre of massMoment of inertiaRolling without slippingSame L, different spin

Entry diagnostic

Decide where to enter this path without opening a second testing system.

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.

Review prerequisite first0 / 2 probes ready

Check the turning-to-balance bridge first

Review prerequisite 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.

Start Motion and Circular Motion prerequisite trackBegin with Torque
  1. Quick testNot started4 questions

    Torque bridge quick test

    Check whether lever arm, perpendicular force, and turning effect already feel like one geometry story.

    No saved quick-test result yet.

    Torque
    Open Torque quick test
  2. ChallengeNot started6 checks

    Balance checkpoint

    Use the support-region challenge to verify that centre of mass and torque balance still stay tied together before the path returns to spin response.

    No saved checkpoint attempt yet.

    Static equilibrium
    Open Balance the heavy right load

Why this order

The sequence is authored to keep the model honest.

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

Each step opens the same simulation-first framework.

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

Follow the concepts and checkpoint moments in order.

Checkpoint cards reuse the authored challenge entries already living on the concept pages.

  1. 1Not startedMastery: NewStart here

    Torque

    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.

    MechanicsIntro25 min
    Start concept
  2. 2Not startedMastery: New

    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.

    MechanicsIntro25 min
    Open concept
  3. Checkpoint 1LockedNot started

    Balance checkpoint

    Use the support-region bench to put torque balance and centre-of-mass placement on one stable plank before the path turns back toward spinning response.

    Finish Static Equilibrium / Centre of Mass first. This checkpoint ties together Torque and Static equilibrium through Balance the heavy right load.

    Pause here after Static Equilibrium / Centre of Mass before moving into Rotational Inertia / Moment of Inertia.

    TorqueStatic equilibrium6 checksCoreGraph-linkedGuided start
    Return to Static equilibriumOpen concept
  4. 3Not startedMastery: New

    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.

    MechanicsIntro25 min
    Open concept
  5. 4Not startedMastery: New

    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.

    MechanicsIntermediate30 min
    Open concept
  6. Checkpoint 2LockedNot started

    Rolling-response checkpoint

    Keep the same ramp and radius, then let shape alone separate the finish so rotational inertia becomes a visible rolling race instead of a formula shelf.

    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.

    Rotational inertiaRolling motion10 checksStretchCompareGraph-linkedGuided start
    Return to Rolling motionOpen concept
  7. 5Not startedMastery: New

    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.

    MechanicsIntermediate25 min
    Open concept
  8. Checkpoint 3LockedNot started

    Angular-momentum checkpoint

    Finish by matching the same angular momentum across compact and wide layouts so the branch closes on one honest same-L comparison instead of memorized slogans.

    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.

    Rotational inertiaAngular momentum9 checksStretchCompareGraph-linkedGuided start
    Return to Angular momentumOpen concept