Next step
Open the first concept fast
Use one strong concept page first, then widen out from read-next, topic cues, and local progress.
Open SHMConcept library
The catalog, topic routes, starter tracks, and local-progress cues all come from the canonical concept system. The first screen now prioritizes immediate entry and the real browser instead of stacked library-intro panels.
Start here
If you are new here, one strong concept page is still the fastest first pass. If you want more structure, use starter tracks or the challenge hub without leaving the shared concept-page framework.
Good first modules
See one repeating system from displacement to acceleration and back again, with the math tied directly to the motion on screen.
Launch a projectile, watch the trajectory form, and connect the range, height, and component motion to the launch settings.
Compare average particle motion with whole-sample energy, vary amount and heating, and see why a phase-change shelf breaks naive temperature-only reasoning on one compact thermal bench.
Starter track
Start with one source mass creating a field and potential well, then use that same gravity model to explain circular speed, orbital periods, and the escape threshold.
Start Gravity and Orbits62 modules
Published now and pulled from the canonical concept catalog.
9 topics
Current filters follow the registry order: Oscillations, Resonance, Mechanics, Fluids, Thermodynamics, Electricity, Optics, Electromagnetism, Modern Physics.
12 starter tracks
Curated from the same canonical catalog so the library has guided entry points.
1700 minutes
Approximate total guided study time across the current public-preview catalog.
Next step
Use one strong concept page first, then widen out from read-next, topic cues, and local progress.
Open SHMGuided path
5 connected concepts when you want sequence instead of a cold library scan.
Start Gravity and OrbitsChallenge path
The challenge hub surfaces existing authored challenges by topic, concept, and starter-track path without introducing a separate curriculum layer.
Open challenge hubGuided collections
3 compact collections already reuse the same canonical pages and progress seams. They stay small on purpose so the library does not turn into a second curriculum system.
Use one topic route, one starter track, and one focused challenge so the wave story stays bounded for a teacher-led lesson block.
Collection shape
Reuses 1 starter track, 1 challenge step, and 2 supporting surfaces without creating a second curriculum system.
Move from field cause to voltage to the first full electricity track without leaving the current concept, topic, and challenge surfaces.
Collection shape
Reuses 1 starter track, 1 challenge step, and 2 supporting surfaces without creating a second curriculum system.
Use the existing electricity recap, magnetic starter track, and Maxwell capstone surfaces to move into electromagnetism without turning the branch into a full LMS sequence.
Collection shape
Reuses 1 starter track, 1 challenge step, and 2 supporting surfaces without creating a second curriculum system.
Good first concept
Strong first module for getting into the public preview without committing to a full track.
Start SHMGuided path
Start with one source mass creating a field and potential well, then use that same gravity model to explain circular speed, orbital periods, and the escape threshold.
Start Gravity and OrbitsConcept library
Registry order stays intact, so the fastest scan still starts in the main results.
62 results of 62
Workspace cues
Use search, topic, and progress first. Open extra track filters only when you want a narrower path view.
Type to narrow the library by concept name, topic, starter track, difficulty, tag, or highlight.
Topic
Progress
See one repeating system from displacement to acceleration and back again, with the math tied directly to the motion on screen.
Foundations
Strong first module for getting into the public preview.
Open conceptWatch kinetic and potential energy trade places in simple harmonic motion while the total stays fixed by amplitude and spring stiffness.
Energy in SHM
Built for quick scanning, filtering, and direct access.
Open conceptFollow one traveling wave across the same medium and connect crest spacing, travel delay, source timing, and the relation v = f lambda on one honest live stage.
Wave timing and spacing
Built for quick scanning, filtering, and direct access.
Open conceptSee sound as a longitudinal wave by keeping parcel motion, compression and rarefaction, probe timing, and energy transfer tied to one compact medium-first bench.
Sound in a medium
Built for quick scanning, filtering, and direct access.
Open conceptKeep one compact sound bench while separating pitch from frequency, loudness from amplitude and an amplitude-squared intensity cue, and probe delay from the source sound itself.
Sound character
Built for quick scanning, filtering, and direct access.
Open conceptSuperpose two nearby sound frequencies, watch the fast carrier sit inside a slower envelope, and connect beat rate to the frequency difference on one compact bench.
Sound superposition
Built for quick scanning, filtering, and direct access.
Open conceptWatch a moving sound source compress wavefronts ahead and stretch them behind, then see how source motion and observer motion combine to change the heard pitch on one bounded classical bench.
Sound with motion
Built for quick scanning, filtering, and direct access.
Open conceptSuperpose two coherent sources, trace their path difference to phase difference, and watch bright and dark regions emerge on the same live screen.
Wave superposition
Built for quick scanning, filtering, and direct access.
Open conceptTrack fixed nodes, moving antinodes, and harmonic mode shapes on one live string while the same probe trace shows the underlying oscillation in time.
Standing-wave patterns
Built for quick scanning, filtering, and direct access.
Open conceptCompare open and closed pipe boundary conditions on one compact air column so standing-wave shapes, missing even harmonics, probe motion, and pressure cues stay tied to the same resonance state.
Air-column resonance
Built for quick scanning, filtering, and direct access.
Open conceptTrack a particle moving at constant speed around a circle and connect radius, angular speed, tangential speed, centripetal acceleration, and the inward-force requirement to the same live state.
Circular model
Built for quick scanning, filtering, and direct access.
Open conceptExplore how damping removes energy, how driving frequency changes amplitude, and why resonance becomes dramatic near the natural frequency.
Driven response
Built for quick scanning, filtering, and direct access.
Open conceptRotate and scale a live vector, decompose it into horizontal and vertical parts, and watch those components drive the same straight-line motion and geometry.
Vector foundations
Built for quick scanning, filtering, and direct access.
Open conceptPush on one pivoted bar and see how lever arm distance, force direction, and turning effect stay tied to the same compact rotational bench.
Turning effects of force
Built for quick scanning, filtering, and direct access.
Open conceptShift 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.
Balance, support, and centre of mass
Built for quick scanning, filtering, and direct access.
Open conceptKeep 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.
Mass distribution and rotational response
Built for quick scanning, filtering, and direct access.
Open conceptRoll 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.
Rolling without slipping
Built for quick scanning, filtering, and direct access.
Open conceptTreat 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.
Rotational momentum and conservation
Built for quick scanning, filtering, and direct access.
Open conceptPush one cart with a timed force pulse and watch momentum, impulse, and force-time area stay tied to the same motion, readouts, and graphs.
Momentum and force over time
Built for quick scanning, filtering, and direct access.
Open conceptWatch two carts trade momentum through one bounded internal interaction and see the total stay fixed while the individual momenta, velocities, and center-of-mass motion update together.
Multi-object interactions
Built for quick scanning, filtering, and direct access.
Open conceptCollide two carts on one honest track, keep total momentum in view, and see how elasticity, mass, and incoming speed shape the rebound or stick-together outcome.
Collisions and restitution
Built for quick scanning, filtering, and direct access.
Open conceptLaunch a projectile, watch the trajectory form, and connect the range, height, and component motion to the launch settings.
Two-dimensional motion
Strong first module for getting into the public preview.
Open conceptSee how one source mass creates an inward gravitational field, how source mass and distance set the field strength, and how a probe mass turns that field into force without changing the field itself.
Gravity and orbit bridges
Built for quick scanning, filtering, and direct access.
Open conceptSee one source mass create a negative potential well, compare how potential and potential energy change with distance, and connect the downhill slope of phi to the gravitational field on the same live model.
Gravity and orbit bridges
Built for quick scanning, filtering, and direct access.
Open conceptUse one piston-and-tank bench to connect force per area, pressure acting in all directions, and the way density, gravity, and depth build hydrostatic pressure.
Pressure and fluid statics
Built for quick scanning, filtering, and direct access.
Open conceptKeep one steady stream tube on screen and use Q = Av to connect cross-sectional area, flow speed, and the same volume flow rate through narrow and wide sections.
Steady flow and continuity
Built for quick scanning, filtering, and direct access.
Open conceptFollow one steady ideal-flow pipe and see how pressure, speed, and height trade within the same Bernoulli budget while continuity keeps the flow-rate story honest.
Steady-flow energy and pressure
Built for quick scanning, filtering, and direct access.
Open conceptUse one immersed-block bench to connect pressure difference, displaced fluid, and the density balance behind floating, sinking, and neutral buoyancy.
Buoyancy and displaced fluid
Built for quick scanning, filtering, and direct access.
Open conceptDrop one body through a fluid and use mass, area, and drag strength to see drag grow with speed until force balance settles into terminal velocity.
Resistive motion and terminal speed
Built for quick scanning, filtering, and direct access.
Open conceptCompare average particle motion with whole-sample energy, vary amount and heating, and see why a phase-change shelf breaks naive temperature-only reasoning on one compact thermal bench.
Thermal foundations
Strong first module for getting into the public preview.
Open conceptConnect pressure, volume, temperature, and particle number on one bounded particle box, then read the same pressure changes back as changes in particle speed and wall-collision rate.
Gas-state bridge
Built for quick scanning, filtering, and direct access.
Open conceptSee heat as energy transfer driven by temperature difference while conduction, convection, and radiation compete on one compact bench with honest pathway rates.
Heat flow
Built for quick scanning, filtering, and direct access.
Open conceptSee why the same energy pulse changes different materials by different temperature amounts, and why a phase-change shelf can absorb or release energy without changing temperature on one compact thermal bench.
Thermal response
Built for quick scanning, filtering, and direct access.
Open conceptSee why a circular orbit needs the right sideways speed, how gravity supplies the centripetal acceleration, and how source mass and radius together set orbital speed and period on one bounded live model.
Gravity and orbit bridges
Built for quick scanning, filtering, and direct access.
Open conceptSee how source-charge sign, distance, and superposition set the electric field at one probe, then watch a test charge turn that field into a force without changing the field itself.
Field and force
Built for quick scanning, filtering, and direct access.
Open conceptCompare circular orbits around one source mass and see why larger orbits take longer: the path is longer, the circular speed is lower, and the same live model makes the period law visible without hiding the gravity-speed link.
Gravity and orbit bridges
Built for quick scanning, filtering, and direct access.
Open conceptMap how source-charge sign and distance shape electric potential, compare potential differences across one honest scan line, and connect the downhill slope of V to the electric field.
Potential and voltage
Built for quick scanning, filtering, and direct access.
Open conceptLaunch outward from one bounded gravity source and see how source mass, launch radius, and total specific energy decide whether the object escapes or eventually returns.
Gravity and orbit bridges
Built for quick scanning, filtering, and direct access.
Open conceptKeep one battery and two resistors in view while current, voltage, resistance, Ohm's law, and the contrast between series and parallel all stay tied to one honest circuit.
Circuits and Ohm's law
Built for quick scanning, filtering, and direct access.
Open conceptConnect electromagnetic waves to visible light, color, frequency, and the broader spectrum while one compact stage keeps the spectrum rail, field-pair sketch, and medium-linked wavelength changes tied together.
Wave view of light
Built for quick scanning, filtering, and direct access.
Open conceptUse one compact polarizer bench to see polarization as the orientation story of transverse waves, how angle mismatch sets transmitted light, and why one ideal polarizer makes unpolarized light emerge with one chosen axis.
Wave orientation and filters
Built for quick scanning, filtering, and direct access.
Open conceptKeep one source and one resistive load in view while current, power, and accumulated energy over time stay tied to the same honest circuit.
Power and energy
Built for quick scanning, filtering, and direct access.
Open conceptWatch a wave spread after one narrow opening, see why diffraction grows when wavelength competes with slit width, and build the wave-optics bridge toward double-slit interference.
Wave spreading and apertures
Built for quick scanning, filtering, and direct access.
Open conceptUse two coherent slits and one screen to connect path difference, phase difference, and fringe spacing to wavelength, slit separation, and screen distance on one compact optics bench.
Wave spreading and apertures
Built for quick scanning, filtering, and direct access.
Open conceptWatch one light ray cross a boundary, connect refractive index to speed change, and see Snell's law set the refracted angle, bending direction, and critical-angle limit on the same live diagram.
Boundaries and indices
Built for quick scanning, filtering, and direct access.
Open conceptSwitch the same two loads between one loop and two branches, then track how current, voltage, brightness, and charge flow reorganize without changing the battery.
Series and parallel branches
Built for quick scanning, filtering, and direct access.
Open conceptUse one compact thin-prism bench to see how refractive index can depend on wavelength, why different colors bend by different amounts, and how a bounded prism model separates colors without widening into a full spectroscopy subsystem.
Color-dependent refraction
Built for quick scanning, filtering, and direct access.
Open conceptPush a ray from a higher-index medium toward a lower-index boundary, watch the critical angle emerge, and see the same live diagram hand off from ordinary refraction to full internal reflection.
Critical-angle threshold
Built for quick scanning, filtering, and direct access.
Open conceptReduce one highlighted resistor group into an equivalent block, then collapse the whole mixed circuit honestly and watch how the total current and grouped behavior change together.
Mixed resistor groups
Built for quick scanning, filtering, and direct access.
Open conceptUse plane, concave, and convex mirrors to track equal-angle reflection, signed image distance, and magnification on the same live ray diagram.
Mirror imaging
Built for quick scanning, filtering, and direct access.
Open conceptSee how current direction, wire spacing, distance, and superposition set the magnetic field around one or two long straight wires, with the stage arrows and scan graphs tied to the same live source pattern.
Fields around current
Built for quick scanning, filtering, and direct access.
Open conceptTrack one magnet passing one coil and see how changing magnetic flux linkage creates induced emf while Lenz's law fixes the response direction, with the stage, galvanometer, and graphs all driven by the same bounded motion.
Flux and induced emf
Built for quick scanning, filtering, and direct access.
Open conceptSee what each Maxwell equation says physically, how sources and circulation differ, and why changing electric and magnetic fields together unify electricity, magnetism, and light.
Field synthesis
Built for quick scanning, filtering, and direct access.
Open conceptSee how changing electric and magnetic fields travel together as one rightward wave, with the local field pair, source-to-probe delay, and propagation cue all tied to the same compact live stage.
Changing fields and propagation
Built for quick scanning, filtering, and direct access.
Open conceptLaunch one moving charge through a uniform magnetic field, compare it with a same-direction current segment, and connect force direction, curvature, and current-based force on one bounded live stage.
Magnetic force and motion
Built for quick scanning, filtering, and direct access.
Open conceptTrace principal rays through converging and diverging lenses, connect the signed thin-lens equation to the diagram, and watch image distance and magnification respond to the same object setup.
Thin lenses
Built for quick scanning, filtering, and direct access.
Open conceptImage two nearby point sources through one finite aperture and see why diffraction, wavelength, and aperture diameter limit how sharply an optical system can separate them.
Imaging limits and resolution
Built for quick scanning, filtering, and direct access.
Open conceptUse one compact lamp-to-metal bench to see why light frequency sets electron emission, why intensity alone fails below threshold, and how stopping potential reads the electron energy honestly.
Light and matter
Built for quick scanning, filtering, and direct access.
Open conceptLink discrete emission and absorption lines to allowed energy-level gaps with one compact ladder-and-spectrum bench that keeps transitions, wavelengths, and mode changes tied together.
Quantized line spectra
Built for quick scanning, filtering, and direct access.
Open conceptUse one compact matter-wave bench to see how particle momentum sets wavelength, why heavier or faster particles get shorter wavelengths, and how whole-number loop fits form a bounded bridge toward early quantum behavior.
Matter waves and quantum bridge
Built for quick scanning, filtering, and direct access.
Open conceptUse a compact hydrogen bench to connect quantized energy levels, allowed transitions, and named spectral-line series while staying clear that Bohr is a useful historical model rather than the final quantum description.
Hydrogen energy levels
Built for quick scanning, filtering, and direct access.
Open conceptUse one compact decay bench to see why each nucleus decays unpredictably, why large samples still follow a regular half-life curve, and how to read remaining-count graphs honestly.
Nuclear decay and chance
Built for quick scanning, filtering, and direct access.
Open conceptContinue learning
Local-first progress.
No local progress yet. Open a concept, try the simulation, and Open Model Lab will remember your progress on this browser first, then let you sign in later if you want sync.
Start a conceptReview queue
These cues stay transparent on purpose. They reuse saved quick-test misses, unfinished challenge work, ready checkpoints, entry diagnostics, mastery signals, elapsed time, and starter-track recap context instead of introducing a separate scheduler.
Local-first review cues.
The review queue appears after you work through a concept. Open a concept, use the lab, and finish a quick test or challenge to seed the first revisit cues.
Topic routes
Topic pages stay tied to canonical metadata, starter-track recommendations, and local progress cues, but they give learners a stronger sense of where they are before opening a specific concept.
Follow repeating motion from one oscillator into traveling waves, sound as a longitudinal wave, pitch-versus-loudness cues, beats from nearby frequencies, Doppler shifts from motion, superposition, standing patterns, and driven resonance.
Best first concepts
Use vectors, balance and rotational cause, angular momentum, trajectories, gravity fields and potential, circular orbits, orbital periods, escape thresholds, impulse, conservation, and collisions to read motion and interactions on the same simulation-first surface.
Best first concepts
Start with pressure as force per area, then keep the fluids story coherent through hydrostatic pressure, steady-flow continuity, Bernoulli's speed-pressure-height trade, buoyancy from displaced fluid, and resistive drag that settles into terminal speed.
Best first concepts
Separate temperature from total internal energy, bridge that microscopic story into gas pressure and the ideal-gas law, then follow how thermal energy crosses boundaries and shapes honest heating curves on one compact thermal branch.
Best first concepts
Move from source charges and voltage into simple loops, power, branch behavior, and equivalent resistance without leaving the same compact electricity path.
Use current-made magnetic fields, changing flux, Maxwell's four-law synthesis, magnetic force, and field-pair propagation without turning the branch into a detached rule list.
Best first concepts
Use one bounded optics path to move from light's wave identity into polarization, diffraction, double-slit interference, refraction, prism dispersion, critical angles, mirrors, thin-lens image formation, and the diffraction limits that cap real resolution.
Best first concepts
Keep the modern-physics branch bounded with the photoelectric effect, atomic spectra, de Broglie matter waves, the Bohr model, and radioactivity / half-life so threshold emission, discrete lines, matter wavelength, quantized hydrogen levels, and probabilistic nuclear decay all stay tied to compact, visually honest benches instead of detached historical anecdotes.
Best first concepts
Starter tracks
These tracks still point back into the same reusable concept pages and shared progress seams. The redesign just keeps them compact and close to the library instead of feeling like a separate destination.
Start with vector components, move into projectile paths, and then use circular motion to understand how velocity can keep changing direction.
Track progress
0 / 5 moments complete
0 / 3 concepts and 0 / 2 checkpoints cleared.
Vectors and Components opens this track and sets up the rest of the 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.
Track progress
0 / 8 moments complete
0 / 5 concepts and 0 / 3 checkpoints cleared.
Torque opens this track and sets up the rest of the path.
Start with one source mass creating a field and potential well, then use that same gravity model to explain circular speed, orbital periods, and the escape threshold.
Track progress
0 / 8 moments complete
0 / 5 concepts and 0 / 3 checkpoints cleared.
Gravitational Fields opens this track and sets up the rest of the path.
Build from one clean oscillator to energy exchange and then to driven resonance, so the same system grows without changing its core ideas.
Track progress
0 / 5 moments complete
0 / 3 concepts and 0 / 2 checkpoints cleared.
Simple Harmonic Motion opens this track and sets up the rest of the path.
Start with pressure in a resting fluid, then carry that same branch through continuity, Bernoulli, buoyancy, and drag-limited motion.
Track progress
0 / 8 moments complete
0 / 5 concepts and 0 / 3 checkpoints cleared.
Pressure and Hydrostatic Pressure opens this track and sets up the rest of the path.
Use oscillation as the entry point, lock down wave speed and wavelength, carry that into longitudinal sound and pitch-versus-loudness cues, add beats as the nearby-frequency superposition bridge, then move into Doppler shifts, interference, standing-wave patterns, and open-vs-closed air-column resonance without losing the live connection between motion and graph.
Track progress
0 / 11 moments complete
0 / 9 concepts and 0 / 2 checkpoints cleared.
Simple Harmonic Motion opens this track and sets up the rest of the path.
Start with temperature-versus-internal-energy bookkeeping, reuse that particle story for gas pressure, then follow energy transfer into heating curves and phase-change shelves.
Track progress
0 / 7 moments complete
0 / 4 concepts and 0 / 3 checkpoints cleared.
Temperature and Internal Energy opens this track and sets up the rest of the path.
Start with source charges and voltage, then carry that same circuit story into current, power, branch behavior, and equivalent resistance.
Track progress
0 / 8 moments complete
0 / 6 concepts and 0 / 2 checkpoints cleared.
Electric Fields opens this track and sets up the rest of the path.
Start with current-made magnetic fields, turn changing flux into induced emf with Faraday and Lenz, and then reuse that same field direction story to explain magnetic force on charges and currents.
Track progress
0 / 6 moments complete
0 / 3 concepts and 0 / 3 checkpoints cleared.
Magnetic Fields opens this track and sets up the rest of the path.
Stay on the sound branch long enough that longitudinal motion, pitch-versus-loudness cues, beats, Doppler shifts, and open-vs-closed air-column resonance feel like one acoustics path instead of isolated pages.
Track progress
0 / 8 moments complete
0 / 5 concepts and 0 / 3 checkpoints cleared.
Sound Waves and Longitudinal Motion opens this track and sets up the rest of the path.
Follow the bounded wave-optics branch from polarization into diffraction, double-slit interference, color-dependent refraction, and imaging limits so the newer optics pages read like one compact path instead of isolated stops.
Track progress
0 / 8 moments complete
0 / 5 concepts and 0 / 3 checkpoints cleared.
Polarization opens this track and sets up the rest of the path.
Follow the bounded modern-physics branch from threshold emission into line spectra, matter waves, the Bohr hydrogen model, and half-life so the new concept set reads like one path instead of five isolated pages.
Track progress
0 / 8 moments complete
0 / 5 concepts and 0 / 3 checkpoints cleared.
Photoelectric Effect opens this track and sets up the rest of the path.