Starter track80 min
Oscillations and Energy
Not startedBuild from one clean oscillator to energy exchange and then to driven resonance, so the same system grows without changing its core ideas.
Restoring forceEnergy exchange
Starter track
Follow the authored sequence, or switch to recap mode for a faster review of the same path.
Entry diagnostic
Decide where to enter this path without opening a second testing system.
Use one quick test on simple harmonic motion and the existing energy checkpoint challenge to decide whether to start from the restoring-force basics or jump ahead to driven resonance.
Start from beginning0 / 2 probes ready
See whether the oscillator loop is already secure
Start from beginning
No saved diagnostic checks are available yet, so the opening concept is still the best place to start.
Uses the same local-first quick tests, checkpoint challenges, and track history already saved in this browser.
- Quick testNot started5 questions
SHM quick test
Check whether displacement, restoring force, and phase in the core oscillator are already stable.
No saved quick-test result yet.
SHM - ChallengeNot started4 checks
Half kinetic, half potential
Starting from Mixed start, pause at a moment when kinetic and potential energy are nearly equal. Keep the energy graph open so the balance stays honest.
No saved checkpoint attempt yet.
Energy in SHMInspect time
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.
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
The sequence is authored to keep the model honest.
Simple harmonic motion establishes the restoring-force loop. Oscillation and energy then reuses that same motion to explain where energy sits and how it trades places, and damping and resonance closes by showing what changes when the oscillator is driven and losses matter.
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.
- 1Not startedNewStart here
Simple Harmonic Motion
See one repeating system from displacement to acceleration and back again, with the math tied directly to the motion on screen.
Start here before moving into Oscillation Energy.
OscillationsIntro25 min - 2Not startedNew
Oscillation Energy
Watch kinetic and potential energy trade places in simple harmonic motion while the total stays fixed by amplitude and spring stiffness.
Builds on Simple Harmonic Motion before setting up Damping / Resonance.
OscillationsIntro25 min - Checkpoint 1LockedNot started
Half kinetic, half potential
Starting from Mixed start, pause at a moment when kinetic and potential energy are nearly equal. Keep the energy graph open so the balance stays honest.
Finish Oscillation Energy first. This checkpoint ties together SHM and Energy in SHM through Half kinetic, half potential.
Pause here after Oscillation Energy before moving into Damping / Resonance.
SHMEnergy in SHM4 checksStretchInspect timeGraph-linkedGuided start - 3Not startedNew
Damping / Resonance
Explore how damping removes energy, how driving frequency changes amplitude, and why resonance becomes dramatic near the natural frequency.
Capstone step after Oscillation Energy.
OscillationsIntermediate30 min - Checkpoint 2LockedNot started
Lock near resonance
Starting from Free swing, switch into the response view and tune the driver until it sits very close to resonance with a strong steady-state response.
Finish Damping / Resonance first. This checkpoint ties together SHM, Energy in SHM, and Damping through Lock near resonance.
Final checkpoint that closes the authored track after Damping / Resonance.
SHMEnergy in SHMDamping4 checksCoreGraph-linkedGuided start