Good first concept
Simple Harmonic Motion
Strong first concept for getting into the catalog without committing to a full track.
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Good first concept
Strong first concept for getting into the catalog 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 OrbitsRotate and scale a live vector, decompose it into horizontal and vertical parts, and watch those components drive the same straight-line motion and geometry.
Push on one pivoted bar and see how lever arm distance, force direction, and turning effect stay tied to the same compact rotational bench.
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.
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.
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.
Push one cart with a timed force pulse and watch momentum, impulse, and force-time area stay tied to the same motion, readouts, and graphs.
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.
Watch 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.
Collide 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.
Launch a projectile, watch the trajectory form, and connect the range, height, and component motion to the launch settings.
A strong first concept for opening the catalog without committing to a full track.
Open ProjectileSee 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.
See 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.
See 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.
Compare 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.
Launch 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.
Follow 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.
Use one immersed-block bench to connect pressure difference, displaced fluid, and the density balance behind floating, sinking, and neutral buoyancy.
Keep 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.
Drop 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.
Use 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.
See heat as energy transfer driven by temperature difference while conduction, convection, and radiation compete on one compact bench with honest pathway rates.
Connect 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.
See 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.
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.
A strong first concept for opening the catalog without committing to a full track.
Open Temperature vs USee 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.
Map 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.
Keep 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.
Keep one source and one resistive load in view while current, power, and accumulated energy over time stay tied to the same honest circuit.
Switch the same two loads between one loop and two branches, then track how current, voltage, brightness, and charge flow reorganize without changing the battery.
Reduce 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.
See 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.
Track 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.
See 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.
Launch 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.
See what each Maxwell equation says physically, how sources and circulation differ, and why changing electric and magnetic fields together unify electricity, magnetism, and light.
Connect 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.
Use 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.
Watch 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.
Use 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.
Watch 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.
Use 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.
Push 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.
Use plane, concave, and convex mirrors to track equal-angle reflection, signed image distance, and magnification on the same live ray diagram.
Trace 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.
Image 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.
Use 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.
Link 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.
Use 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.
Use 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.
Use 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.
See one repeating system from displacement to acceleration and back again, with the math tied directly to the motion on screen.
A strong first concept for opening the catalog without committing to a full track.
Open SHMWatch kinetic and potential energy trade places in simple harmonic motion while the total stays fixed by amplitude and spring stiffness.
Follow 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.
Superpose 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.
Watch 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.
Keep 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.
See sound as a longitudinal wave by keeping parcel motion, compression and rarefaction, probe timing, and energy transfer tied to one compact medium-first bench.
Superpose two coherent sources, trace their path difference to phase difference, and watch bright and dark regions emerge on the same live screen.
Track fixed nodes, moving antinodes, and harmonic mode shapes on one live string while the same probe trace shows the underlying oscillation in time.
Compare 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.
Track 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.
Explore how damping removes energy, how driving frequency changes amplitude, and why resonance becomes dramatic near the natural frequency.
Move one parent curve with honest controls so shifts, vertical scale, and reflections stay tied to the same overlaid graph and landmark points.
Change one starting value, one rate, and one target so growth, decay, doubling or half-life, and logarithmic target time all stay tied to the same live curve.
Vary one shifted reciprocal family so domain breaks, vertical and horizontal asymptotes, intercepts, and removable-hole behavior stay tied to the same graph.
Slide a point along one curve, tighten a secant into a tangent, and connect local steepness to the derivative graph without leaving the same live bench.
Approach one target point from the left and right, compare the limiting height with the actual function value, and contrast continuous, removable, jump, and blow-up behavior on one honest graph.
Move one rectangle width under a fixed perimeter, watch the area curve peak, and use the local slope to see why the square is the best constrained shape.
Move one upper bound across a source curve and watch signed area build into a running total so accumulation stays visual instead of symbolic.
Combine, subtract, and scale vectors on one plane so magnitude, direction, and components stay tied to the same live object.
Let one 2 by 2 matrix act on a grid, the basis vectors, and a sample shape so stretch, shear, reflection, and combined plane changes stay visual instead of symbolic-only.
Keep two vectors, their angle, the signed projection of one onto the other, and the dot product visible together so alignment reads geometrically instead of as memorized cases.
Read complex numbers as points and vectors on one plane, then keep addition and multiplication geometric instead of symbolic-only.
Keep x(t), y(t), the traced path, and the moving point visible together so shape and traversal stay distinct.
Keep one point visible in polar and Cartesian views at the same time so radius and angle turn directly into x and y on the plane.
Keep one rotating point, its x and y projections, and the sine-cosine traces linked so the unit circle becomes the live source of both functions.
Keep one rotating point and its projections visible so the core trig identities stay tied to geometry instead of detached symbol rules.
Keep one polar point and its coordinate signs visible so inverse trig becomes angle-from-ratio reasoning with quadrant checks instead of a calculator-only output.
Keep one chemistry box visible so temperature, concentration, activation threshold, and catalysts can be read as changes in successful collisions instead of chemistry slogans.
Watch a reversible chemistry bench keep changing microscopically while the mixture settles toward a new balance after each disturbance.
Keep one reaction recipe visible so stoichiometric ratios read as complete batches, not detached worksheet proportions.
Use one recipe bench to see which reactant caps the output first and why the other reactant can remain in excess.
Compare actual output with the same theoretical recipe cap so percent yield stays visual and honest on one shared bench.
Use one beaker to separate how concentration changes when you add solvent from how it changes when you add more solute.
Keep dissolved amount, excess solid, and current capacity in one beaker so saturation reads like a visible limit instead of a slogan.
Keep acid amount, base amount, water, and the pH strip visible together so acidity and basicity stay intuitive rather than memorized.
Keep neutralization, buffer reserve, and the pH strip visible together so steady pH does not look like unchanged chemistry.
Watch sorting as visible work on a live list so input order, comparisons, and writes stay concrete instead of collapsing into one final answer.
Keep an ordered list, the low-mid-high markers, and the shrinking interval visible together so binary search feels visual instead of procedural.
Keep one live graph, one local neighborhood, and one frontier cue visible together so graph structure feels readable before traversal rules get formal.
Keep the queue frontier, visited count, and graph layers visible together so breadth-first search reads as a layered process instead of a procedure list.
Keep the stack frontier, current depth, and branch order visible together so depth-first search feels like disciplined backtracking instead of random wandering.
Keep repeat skips, waiting frontier nodes, and already-expanded nodes visible together so cycle handling feels like honest bookkeeping on one graph bench.
Saved progress
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Other routes
Subject pages, topic pages, starter tracks, and guided collections stay available, but they stay out of the way until you ask for them.
Subjects
Show subject pages
Open these when you want a broader map before filtering.
Enter the current math slice through graph transformations, rational-function asymptotes, exponential change, vectors, complex-plane geometry, trig identities, inverse-angle reasoning, polar coordinates, and parametric motion without leaving the same live-bench product language used elsewhere on the site.
Fastest honest route
Functions and Change is still the clearest bounded start, while the collection and goal-path links keep the newer subject layer one click away.
Enter the current chemistry slice through reaction-rate ideas, a stoichiometry-and-yield recipe branch, and a broader solutions-and-pH branch without leaving the same simulation-first product architecture.
Fastest honest route
Rates and Equilibrium is still the clearest bounded start, while the collection and goal-path links keep the newer subject layer one click away.
Starter track
Rates and EquilibriumLesson set
Rates and Equilibrium Lesson SetEnter the current computer-science slice through one bounded algorithms-and-search branch where visible list work now widens into one shared graph-traversal bench without leaving the product's simulation-first architecture.
Fastest honest route
Algorithms and Search Foundations is still the clearest bounded start, while the collection and goal-path links keep the newer subject layer one click away.
Starter track
Algorithms and Search FoundationsPlaylist
Algorithms and Search PlaylistSubject directory
Open subject directoryEnter the current physics catalog through live motion, waves, fields, circuits, and modern-physics benches that still share one compact simulation-first product language.
Motion and Circular Motion is the clearest bounded first route.
Enter the current math slice through graph transformations, rational-function asymptotes, exponential change, vectors, complex-plane geometry, trig identities, inverse-angle reasoning, polar coordinates, and parametric motion without leaving the same live-bench product language used elsewhere on the site.
Functions and Change is the clearest bounded first route.
Enter the current chemistry slice through reaction-rate ideas, a stoichiometry-and-yield recipe branch, and a broader solutions-and-pH branch without leaving the same simulation-first product architecture.
Rates and Equilibrium is the clearest bounded first route.
Enter the current computer-science slice through one bounded algorithms-and-search branch where visible list work now widens into one shared graph-traversal bench without leaving the product's simulation-first architecture.
Algorithms and Search Foundations is the clearest bounded first route.
Guided starts
Show tracks and guided starts
19 tracks and 10 guided collections stay here when you want sequence instead of a free browse.
Starter tracks
Stay in libraryStart with vector components, move into projectile paths, and then use circular motion to understand how velocity can keep changing direction.
Starts with Vectors and Components across 3 concepts.
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.
Starts with Torque across 5 concepts.
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.
Starts with Gravitational Fields across 5 concepts.
Build from one clean oscillator to energy exchange and then to driven resonance, so the same system grows without changing its core ideas.
Starts with Simple Harmonic Motion across 3 concepts.
Start with pressure in a resting fluid, then carry that same branch through continuity, Bernoulli, buoyancy, and drag-limited motion.
Starts with Pressure and Hydrostatic Pressure across 5 concepts.
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.
Starts with Simple Harmonic Motion across 9 concepts.
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.
Starts with Temperature and Internal Energy across 4 concepts.
Start with source charges and voltage, then carry that same circuit story into current, power, branch behavior, and equivalent resistance.
Starts with Electric Fields across 6 concepts.
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.
Starts with Magnetic Fields across 3 concepts.
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.
Starts with Sound Waves and Longitudinal Motion across 5 concepts.
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.
Starts with Polarization across 5 concepts.
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.
Starts with Photoelectric Effect across 5 concepts.
Keep the first math path compact: read parent-curve moves first, then rational asymptotes and domain breaks, then exponential growth and decay, local slope, visible limit behavior, and finally accumulation so change stays graph-first all the way through.
Starts with Graph Transformations across 6 concepts.
Start with complex numbers as points on one plane, turn that plane into unit-circle and polar-coordinate geometry, deepen that same bench into trig identities and inverse-angle reasoning, then carry the coordinate language into motion traced from x(t) and y(t).
Starts with Complex Numbers on the Plane across 6 concepts.
Start with vectors as geometric objects on a 2D plane, then carry the same component language into the existing motion-facing vectors bench.
Starts with Vectors in 2D across 2 concepts.
Start with successful collisions setting reaction rate, then reuse the same chemistry language inside a reversible system that re-balances after a disturbance.
Starts with Reaction Rate / Collision Theory across 2 concepts.
Start with one visible reaction recipe, use the lower batch cap to identify the limiting reagent, and then compare actual output with the same theoretical marker.
Starts with Stoichiometric Ratios and Recipe Batches across 3 concepts.
Start with concentration in one beaker, add solubility limits and saturation, then reuse that same solution language to read pH, buffers, and neutralization.
Starts with Concentration and Dilution across 4 concepts.
Start with visible list work, reuse that search language for binary search, and then carry the branch into one live graph bench for adjacency, BFS, DFS, and visited-state behavior.
Starts with Sorting and Algorithmic Trade-offs across 6 concepts.
Guided collections
Open guided collectionsUse one topic route, one starter track, and one focused challenge so the wave story stays bounded for a teacher-led lesson block.
A sequenced set of 9 concepts.
Move from field cause to voltage to the first full electricity track without leaving the current concept, topic, and challenge surfaces.
A sequenced set of 6 concepts.
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.
A sequenced set of 11 concepts.
Use the functions topic route, the existing graph-first starter track, one accumulation checkpoint, and the calculus topic route so the early math branch stays compact for a teacher-led lesson block.
A sequenced set of 7 concepts.
Use the vectors topic route, the short bridge track, one endpoint checkpoint, and the mechanics topic route so the math-to-motion handoff stays compact and teacher-usable.
A sequenced set of 7 concepts.
Use the complex-and-parametric topic route, the authored starter track, one parametric-motion checkpoint, and the vectors topic route so the plane-based math branch stays compact and teacher-usable.
A sequenced set of 9 concepts.
Use the chemistry topic route, the compact starter track, one rebalance checkpoint, and the solutions-and-pH topic route so the chemistry branch feels packaged instead of isolated.
A sequenced set of 6 concepts.
Use the stoichiometry topic route, the compact starter track, one percent-yield checkpoint, and the solutions-and-pH topic route so chemistry quantities stay bounded and teacher-usable.
A sequenced set of 7 concepts.
Use the solutions-and-pH topic route, the authored starter track, one buffer checkpoint, and the rates-and-equilibrium topic route so the broader chemistry branch stays compact and teacher-usable.
A sequenced set of 6 concepts.
Use the algorithms-and-search topic route, the compact starter track, one focused graph-traversal revisit, and the filtered challenge hub so the CS branch stays bounded and extension-ready.
A sequenced set of 6 concepts.
Topics
Show topic pages
Open these when you want the library grouped by topic first.
Topic directory
Open topic directoryFollow 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.
SHM is still the cleanest first concept here.
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.
Vectors is still the cleanest first concept here.
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.
Pressure in fluids is still the cleanest first concept here.
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.
Temperature vs U is still the cleanest first concept here.
Move from source charges and voltage into simple loops, power, branch behavior, and equivalent resistance without leaving the same compact electricity path.
E-fields is still the cleanest first concept here.
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.
B-fields is still the cleanest first concept here.
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.
Light and spectrum is still the cleanest first concept here.
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.
Photoelectric effect is still the cleanest first concept here.
Use parent-curve moves, a shifted reciprocal family, and one exponential bench so graph moves, asymptotes, domain breaks, growth versus decay, and target-time questions stay tied to the same visual branch before the math path widens into local and accumulated change.
Graph transforms is still the cleanest first concept here.
Start from slope on the graph itself, use one constrained rectangle bench to make a real maximum visible, keep limit and continuity behavior available on one target point, and then widen into signed area and accumulation so rate and total change stay connected on one visual branch.
Derivative as slope is still the cleanest first concept here.
Use one 2D plane to read vectors as arrows, ordered pairs, matrix actions, alignment measures, and projections before the same language bridges into motion.
2D vectors is still the cleanest first concept here.
Use one bounded math branch where the complex plane, unit-circle rotation, polar coordinates, trig identities, inverse-angle reasoning, and motion traced from equations all stay tied to the same coordinate language.
Complex numbers is still the cleanest first concept here.
Use one compact chemistry branch where collision success explains reaction rate first, then the same particle language widens into reversible change and a new equilibrium mix.
Reaction rate is still the cleanest first concept here.
Use one compact chemistry branch where a visible recipe bench connects stoichiometric ratios, limiting reagent, and percent yield without leaving the same particle-and-recipe language.
Recipe ratios is still the cleanest first concept here.
Use one compact chemistry branch where concentration, solubility, acid-base balance, buffers, and pH all stay attached to the same bounded solution story.
Concentration is still the cleanest first concept here.
Use one bounded CS branch where visible list work grows into one coherent graph-traversal bench, so sorting, binary search, adjacency, BFS, DFS, and visited-state behavior stay on compact live surfaces.
Sorting trade-offs is still the cleanest first concept here.