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horizontal force F with resulting acceleration a https://www.ajdesigner.com/friction/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/friction.svg Inclined plane with block: weight W, normal force N, friction f, angle θ Diagram of a block resting on an inclined plane at angle θ with weight W down, normal force N perpendicular to the surface, and friction force f along the surface https://www.ajdesigner.com/friction-kinetic/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/circular-motion/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/circular-motion.svg Circular motion: radius r, tangential velocity v, centripetal acceleration/force toward the center Diagram of circular motion: an object on a circle of radius r, with tangential velocity v and centripetal acceleration/force directed toward the center https://www.ajdesigner.com/tangential-velocity/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/centripetal-acceleration/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/centripetal-force/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/orbital-period/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/orbital-period.svg Orbital period of a satellite around mass M A satellite orbiting a central mass M at orbital radius r along a circular path with period T https://www.ajdesigner.com/constant-acceleration/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/constant-acceleration.svg Constant acceleration kinematics: v₀, v, a, and Δx Diagram of a block at a start position with initial velocity v₀, and at an end position with longer velocity v, with an acceleration vector a above and displacement Δx between, illustrating constant acceleration kinematics https://www.ajdesigner.com/coulombs-law/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/coulombs-law-attractive.svg Coulomb's Law force diagram Two opposite-sign point charges q1 and q2 separated by distance r, with equal and opposite Coulomb forces F pulling each charge toward the other along the line connecting their centers. https://www.ajdesigner.com/diagrams/coulombs-law-repulsive.svg Coulomb's Law force diagram Two like-sign point charges q1 and q2 separated by distance r, with equal and opposite Coulomb forces F pushing each charge away from the other along the line connecting their centers. https://www.ajdesigner.com/doppler-effect/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/doppler-effect.svg Doppler effect: moving source with bunched wavefronts ahead and spread wavefronts behind Doppler effect diagram showing a moving source emitting wavefronts that are compressed in the direction of motion toward an observer https://www.ajdesigner.com/einstein/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/escape-velocity/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/escape-velocity.svg Escape velocity from a planetary surface A planet of mass M and radius r with an object at its surface launching upward at escape velocity v_e along an escaping trajectory https://www.ajdesigner.com/gravitational-acceleration/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/gravitational-acceleration.svg Gravitational acceleration g toward central mass M A large mass M with a smaller object at distance r and gravitational acceleration g directed toward M https://www.ajdesigner.com/gravitational-force/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/gravitational-force.svg Gravitational force between two masses Two masses m1 and m2 separated by distance r with attractive forces F pulling them toward each other https://www.ajdesigner.com/gravity/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/hookes-law/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/hookes-law.svg Spring of stiffness k stretched by displacement x with restoring force F = −kx A spring attached to a wall on the left, stretched from its equilibrium length x0 by a displacement x. A mass at the free end experiences a restoring force F = -k*x pointing back toward equilibrium. https://www.ajdesigner.com/impulse-momentum/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/impulse-momentum.svg Impulse equals change in momentum: J = Δp Diagram of a block at two times — initial velocity v sub one shorter and final velocity v sub two longer — with impulse J applied between them, illustrating J equals delta p https://www.ajdesigner.com/impulse-force/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/impulse-force.svg Impulse from force and time interval Δt Diagram of a block receiving a horizontal force F applied over a brief time interval delta t, illustrating impulse J equals F delta t https://www.ajdesigner.com/momentum-mass-velocity/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/momentum-mass-velocity.svg Momentum: p = mv (mass times velocity) Diagram of a block of mass m with a velocity vector v and a momentum vector p in the same direction, illustrating p equals m v https://www.ajdesigner.com/impulse-momentum-theorem/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/impulse-momentum-theorem.svg Impulse-momentum theorem: J = m·Δv Diagram of a block with mass m: initial velocity v sub i, then an impulse J producing a longer final velocity v sub f — illustrating the impulse-momentum theorem J equals m delta v https://www.ajdesigner.com/keplers-third-law/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/keplers-third-law.svg Kepler's third law: elliptical orbit with semi-major axis a around mass M An elliptical orbit around mass M at one focus with semi-major axis a — Kepler's third law https://www.ajdesigner.com/kinetic-energy/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/kinetic-energy.svg Kinetic energy: block of mass m moving with velocity v Diagram of a block of mass m moving to the right with velocity v, showing the kinetic energy KE = one half m v squared https://www.ajdesigner.com/lens-mirror-equation/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/lens-mirror-equation.svg Thin lens ray diagram with object distance, focal length, and image distance Ray diagram of a thin converging lens with an upright object to the left of the lens and an inverted real image to the right. Labels show object distance d sub o, focal length f, and image distance d sub i. https://www.ajdesigner.com/moment/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/moment.svg Moment M produced by force F at distance d from the pivot Diagram of a lever arm of length d pivoted at the left end with a perpendicular force F at the right end producing a bending moment M https://www.ajdesigner.com/newtons-second-law/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/newtons-second-law.svg Newton's second law: F = ma Diagram of a block of mass m with a horizontal force F applied and a smaller acceleration vector a, illustrating Newton's second law F equals m a https://www.ajdesigner.com/pendulum/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/pendulum.svg Simple pendulum with length L, mass m, and angle θ Diagram of a simple pendulum with string length L, bob mass m, and displacement angle θ from vertical https://www.ajdesigner.com/pendulum-period/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/pendulum-length/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/potential-energy/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/potential-energy.svg Gravitational potential energy: block of mass m at height h Diagram of a block of mass m raised to height h above the ground with downward gravitational acceleration g, illustrating gravitational potential energy P E equals m g h https://www.ajdesigner.com/power/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/power-from-work/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/power-from-work.svg Power from work over time A block displaced through distance d by force F, performing work W over time t https://www.ajdesigner.com/power-from-force-velocity/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/power-from-force-velocity.svg Power from force times velocity A block moving with velocity v under force F, with instantaneous power P equal to F times v https://www.ajdesigner.com/projectile-motion/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/projectile-motion.svg Projectile trajectory with launch velocity v₀, angle θ, max height H, and range R Projectile trajectory: a parabolic arc launched from the ground at angle theta with initial velocity v0, reaching maximum height H, and landing at horizontal range R. https://www.ajdesigner.com/radioactive-material/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/half-life/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/radioactive-decay/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/activity/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/mean-lifetime/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/snells-law/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/snells-law.svg Snell's Law refraction diagram Snell's Law geometry: an incident light ray traveling through medium n₁ strikes a horizontal interface and refracts into medium n₂, bending toward the normal because n₂ is greater than n₁. The angle between the incident ray and the normal is θ₁; the angle between the refracted ray and the normal on the other side of the interface is θ₂. https://www.ajdesigner.com/sound-waves/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/sound-waves.svg Sound wave with wavelength λ, period T, speed v, and frequency f Sound wave diagram showing wavelength lambda, period T, propagation speed v, and frequency f https://www.ajdesigner.com/sound-wave-speed/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/sound-wave-speed.svg Sound wave with wavelength λ, propagation speed v, and frequency f Sinusoidal sound wave diagram showing wavelength lambda between adjacent peaks, propagation speed v, and frequency f https://www.ajdesigner.com/sound-intensity-decibels/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/sound-intensity-decibels.svg Sound source with concentric wavefronts and an observer at distance r Sound intensity diagram showing a point source with expanding circular wavefronts and an observer at distance r https://www.ajdesigner.com/specific-gravity/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/specific-volume/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/stokes-law/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/stokes-law-drag-force.svg Stokes’ law: sphere of radius r in a fluid, velocity v, drag force F_d Diagram of a sphere of radius r moving through a viscous fluid of viscosity μ with velocity v and experiencing drag force F_d https://www.ajdesigner.com/diagrams/stokes-law-terminal-velocity.svg Stokes’ law (terminal velocity): sphere of diameter d falling at V_t under gravity g Diagram of a sphere of diameter d falling through a viscous fluid of viscosity μ at terminal velocity V_t under gravity g https://www.ajdesigner.com/stress-strain/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/torque/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/torque.svg Lever arm of length d with perpendicular force F about a pivot Diagram of a lever arm of length d pivoted at the left end with a force F applied perpendicular at the right end https://www.ajdesigner.com/wavelength-frequency-period/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/wavelength-frequency-period.svg Wavelength λ and period T on a sine wave Diagram of a sine wave showing wavelength lambda as the horizontal distance between two adjacent crests and period T as the time between two adjacent peaks. Frequency f is the number of cycles per second. https://www.ajdesigner.com/weight/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/weight.svg Weight free body diagram A block of mass m on a surface with a downward weight vector W = mg and a gravitational field arrow g. https://www.ajdesigner.com/wiens-law/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/wing-lift/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/wing-lift.svg Wing lift: airfoil with velocity v, lift L, and area A Diagram of an airfoil cross-section with airflow above and below, lift force L pointing up, and freestream velocity v https://www.ajdesigner.com/work/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/work.svg Work: block displaced by force F over distance d Diagram of a block displaced from a starting position to an end position by a horizontal force F over distance d, illustrating work W equals F times d https://www.ajdesigner.com/ideal-gas/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/specific-gas-constant/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/temperature-conversion/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/thermal-conductivity/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/thermal-diffusivity/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/thermal-expansion/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/dry-adiabatic-lapse-rate/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/heat-index/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/wind-chill/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/water-vapor-pressure/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/bernoulli/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/bernoulli.svg Bernoulli flow: pipe section 1 (high) to section 2 (low) Diagram of a pipe sloping down from section 1 (upstream, higher) to section 2 (downstream, lower) showing pressure, velocity, and height at each section for Bernoulli's equation https://www.ajdesigner.com/chezy/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/colebrook/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/continuity/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/continuity.svg Flow rate: Q = A × v Diagram of flow through a pipe: cross-section area A, flow velocity v, and volume flow rate Q equal A times v https://www.ajdesigner.com/darcy-weisbach/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/darcys-law/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/fluid-pressure/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/fluid-pressure.svg Fluid pressure: depth h below surface, density ρ, pressure P Side view of a fluid column showing surface at top, depth h measured down to a point P, fluid density ρ, and pressure P at that depth https://www.ajdesigner.com/french-drain/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/gutter-design/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/hazen-williams/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/hydraulic-radius/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/hydraulic-radius.svg Hydraulic radius: water area A divided by wetted perimeter P Trapezoidal open channel cross-section with water area A and wetted perimeter P highlighted https://www.ajdesigner.com/manning/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/minor-losses/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/orifice-flow/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/orifice-flow.svg Orifice flow: head h and exit velocity v Tank with water at head h above an orifice, exit jet with velocity v https://www.ajdesigner.com/parshall-flume/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/pipe-flow/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/pipe-flow.svg Pipe flow: diameter D and average velocity v Side view of a horizontal pipe with diameter D and flow velocity v https://www.ajdesigner.com/pump/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/time-of-concentration/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/venturi-meter/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/venturi-meter.svg Venturi meter: D1, v1 upstream and D2, v2 at the throat Venturi meter side view: wide upstream section diameter D1 narrows to throat diameter D2 https://www.ajdesigner.com/reynolds-number/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/reynolds-number.svg Pipe flow with diameter D and velocity v Diagram of fluid flow through a pipe of diameter D with velocity v, used for the Reynolds number https://www.ajdesigner.com/water-hammer/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/crossover/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/subwoofer/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/subwoofer-vent/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/acoustic-flow/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/aluminum-pipe/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/buried-corrugated-pipe/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/buried-plastic-pipe/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/buried-spiral-rib-pipe/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/ductile-iron-pipe/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/pipe-hydrostatic/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/pipe-soil-pressure/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/pipe-vacuum/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/pipe-wheel-loading/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/plastic-pipe/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/steel-pipe/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/thrust-block/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/pipe-expansion/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/compression-ratio/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/compression-ratio.svg Compression ratio: V_clearance and V_swept Compression ratio diagram showing piston at bottom dead center with swept and clearance volumes, and at top dead center with clearance volume only https://www.ajdesigner.com/crawl-ratio/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/dyno-correction-factor/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/effective-gear-ratio/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/effective-gear-ratio.svg Effective gear ratio: two stages combined Two-stage gear train. Stage 1 (trans): small input gear meshes with a larger output gear. The output of stage 1 shares a shaft with stage 2 (diff): a small input gear meshing with the largest output gear. Each gear is drawn with proper teeth around the pitch circle; meshing pairs are tangent at the pitch radius. https://www.ajdesigner.com/engine/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/engine.svg Engine cylinder with bore B and stroke S Engine cylinder cross-section showing bore B (horizontal) and stroke S (vertical) https://www.ajdesigner.com/engine-displacement/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/engine-displacement.svg Engine displacement: bore B, stroke S, N cylinders Engine cylinder showing bore B, stroke S, repeated across N cylinders https://www.ajdesigner.com/et-method-horsepower/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/fuel-system-flow/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/gear/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/gear.svg Gear with N teeth, pitch diameter D, pitch P Spur gear showing N teeth, pitch diameter D, and tooth pitch P https://www.ajdesigner.com/gear-ratio/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/gear-ratio.svg Gear ratio: driver N1 meshing with driven N2 Two meshing gears: a smaller driver with N1 teeth on the left, a larger driven gear with N2 teeth on the right. Both drawn with proper teeth around the pitch circle; the meshing pair is tangent at the pitch radii. Rotation direction arrows indicate that the gears spin in opposite directions. https://www.ajdesigner.com/horsepower/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/horsepower-elapsed-time/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/horsepower-trap-speed/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/horsepower-from-torque/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/power-to-weight-ratio/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/suspension-spring/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/tire-diameter/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/tire-diameter.svg Tire diameter D and rim diameter d with sidewall Side view of a tire showing overall diameter D, rim diameter d, and sidewall height https://www.ajdesigner.com/trap-speed-horsepower/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/volumetric-efficiency/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/volumetric-efficiency.svg Volumetric efficiency: actual vs theoretical intake volume Volumetric efficiency diagram showing intake into a cylinder with theoretical and actual fill levels https://www.ajdesigner.com/ac-circuit/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/ac-circuit.svg AC RLC series circuit with source V, resistor R, inductor L, and capacitor C Series RLC AC circuit diagram with an AC voltage source, a resistor R, an inductor L, and a capacitor C https://www.ajdesigner.com/capacitor/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/capacitor.svg Parallel-plate capacitor: area A, gap d, permittivity ε, charges +Q and −Q Parallel-plate capacitor diagram showing two plates of area A separated by gap d with dielectric of permittivity epsilon between them https://www.ajdesigner.com/capacitors-series-parallel/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/capacitors-series-parallel.svg Capacitors in series and in parallel — schematic comparison Schematic showing two capacitors in series (top) and two capacitors in parallel (bottom) https://www.ajdesigner.com/inductor/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/inductor.svg Solenoid coil with N turns, length ℓ, and cross-sectional area A Solenoid inductor diagram showing a cylindrical coil with N turns over length ell and cross-sectional area A https://www.ajdesigner.com/ohms-law/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/ohms-law.svg Ohm's law circuit with battery (V), current (I), and resistor (R) Ohm's law DC circuit diagram with a battery on the left and a resistor on the right, showing voltage V, current I, and resistance R https://www.ajdesigner.com/rc-rl-time-constant/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/rc-rl-time-constant.svg RC and RL first-order circuits with exponential response curves Two side-by-side schematics: an RC circuit with a resistor and capacitor in series fed by a battery, and an RL circuit with a resistor and inductor in series. Each circuit has the corresponding exponential approach-to-steady-state curve plotted below it. https://www.ajdesigner.com/resistors-series-parallel/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/resistors-series-parallel.svg Series and parallel resistor configurations Two resistor configurations: top shows R1 and R2 wired in series along a single current path; bottom shows R1 and R2 wired in parallel across a common pair of rails. https://www.ajdesigner.com/voltage-divider/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/voltage-divider.svg Voltage divider schematic Voltage divider schematic showing Vin at top, R₁ and R₂ in series, with the Vout tap between them and ground at the bottom. https://www.ajdesigner.com/wind-turbine/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/annulus/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/annulus.svg Annulus with outer radius R and inner radius r Diagram of an annulus (ring) showing outer radius R from center to outer circle and inner radius r from center to inner circle https://www.ajdesigner.com/capsule/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/capsule.svg Capsule (cylinder with two hemispherical ends), with labeled radius r and cylinder-section height h Diagram of a capsule (pill shape) — a cylinder with two hemispherical end caps, with labeled radius r and cylinder-section height h https://www.ajdesigner.com/circle/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/circle.svg Circle with labeled radius r and diameter d Diagram of a circle with labeled radius r and diameter d https://www.ajdesigner.com/circle-arc/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/circle-arc.svg Circular arc with radius r, angle θ, and arc length s Diagram of a circular arc of radius r subtending a central angle θ with arc length s https://www.ajdesigner.com/circle-sector/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/circle-sector.svg Circular sector with radius r, central angle θ, and sector area A Diagram of a circular sector with radius r, central angle θ, and sector area A https://www.ajdesigner.com/circle-segment/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/circle-segment.svg Circular segment with chord c, radius r, center-to-chord distance t, segment height h, and area A Diagram of a circular segment with chord c, radius r, center-to-chord distance t, segment height h, and area A https://www.ajdesigner.com/cone/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/cone.svg Right circular cone with labeled radius r and height h Diagram of a right circular cone showing radius r at the base and height h from apex to base center https://www.ajdesigner.com/cone-frustum/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/cone-frustum.svg Cone frustum with labeled bottom radius R, top radius r, and height h Diagram of a cone frustum (truncated cone) showing bottom radius R, top radius r, and perpendicular height h https://www.ajdesigner.com/cube/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/cube.svg Cube with side s Diagram of a cube with all sides labeled s https://www.ajdesigner.com/cylinder/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/cylinder.svg Right circular cylinder with labeled radius r and height h Diagram of a right circular cylinder showing radius r at the top and height h along the side https://www.ajdesigner.com/distance/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/distance-2d.svg Distance between two points: hypotenuse d with legs Δx and Δy Diagram showing two points on a coordinate plane connected by a straight line, with dashed perpendicular legs labeled delta x and delta y forming a right triangle https://www.ajdesigner.com/diagrams/distance-3d.svg 3D distance between two points: space diagonal d with perpendicular legs Δx, Δy, Δz Cabinet-projection 3D diagram of an axis-aligned rectangular box. Two points P1 and P2 sit at opposite corners; the space diagonal d connects them. The three perpendicular legs along the x, y, and z directions are labeled Δx, Δy, and Δz. The hidden back-bottom-left corner is connected to three other vertices via dashed edges. https://www.ajdesigner.com/dodecahedron/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/dodecahedron.svg Regular dodecahedron with labeled edge a Diagram of a regular dodecahedron — 12 regular-pentagon faces shown in Schlegel projection — with labeled edge a https://www.ajdesigner.com/ellipse/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/ellipse.svg Ellipse with semi-major axis a (horizontal) and semi-minor axis b (vertical) Diagram of an ellipse with labeled semi-major axis a and semi-minor axis b https://www.ajdesigner.com/ellipsoid/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/ellipsoid.svg Ellipsoid with semi-axes a (horizontal), b (vertical), c (depth) Diagram of an ellipsoid with labeled semi-axes a (horizontal), b (vertical), and c (depth) https://www.ajdesigner.com/equilateral-triangle/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/equilateral-triangle.svg Equilateral triangle with side s and height h Diagram of an equilateral triangle with all sides labeled s and height h https://www.ajdesigner.com/geometric-formulas/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/hemisphere/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/hemisphere.svg Hemisphere with labeled radius r Diagram of a hemisphere (half sphere) with labeled radius r https://www.ajdesigner.com/hexagon/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/hexagon.svg Regular hexagon with side s and apothem a Diagram of a regular hexagon with labeled side s, apothem a, and a 60-degree central angle https://www.ajdesigner.com/hexagonal-prism/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/hexagonal-prism.svg Regular hexagonal prism with labeled edge a and length L Diagram of a regular hexagonal prism showing the hexagonal cross-section edge a and the prism length L https://www.ajdesigner.com/hollow-cylinder/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/hollow-cylinder.svg Hollow cylinder (pipe) with labeled outer radius R, inner radius r, and height h Diagram of a hollow circular cylinder (pipe) showing outer radius R, inner radius r, and height h https://www.ajdesigner.com/icosahedron/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/icosahedron.svg Regular icosahedron with one labeled edge a Diagram of a regular icosahedron — 20 triangular faces, 12 vertices, 30 edges — with one edge labeled a https://www.ajdesigner.com/isosceles-triangle/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/isosceles-triangle.svg Isosceles triangle with legs a, base b, and altitude h Diagram of an isosceles triangle with two equal legs labeled a, base labeled b, and dashed altitude h to the base https://www.ajdesigner.com/kite/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/kite.svg Kite quadrilateral with perpendicular diagonals d₁ (vertical) and d₂ (horizontal) Diagram of a kite with vertical diagonal d₁ (axis of symmetry) and horizontal diagonal d₂ crossing it at a right angle https://www.ajdesigner.com/octagon/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/octagon.svg Regular octagon with side s and apothem a Diagram of a regular octagon with labeled side s, apothem a, and 135-degree interior angles (stop-sign orientation) https://www.ajdesigner.com/octagonal-prism/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/octagonal-prism.svg Regular octagonal prism with labeled edge a and length L Diagram of a regular octagonal prism showing the octagonal cross-section edge a and the prism length L https://www.ajdesigner.com/octahedron/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/octahedron.svg Regular octahedron with labeled edge a and long diagonal Diagram of a regular octahedron — two square pyramids joined base-to-base — with labeled edge a and long diagonal https://www.ajdesigner.com/parallelogram/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/parallelogram.svg Parallelogram with base b, slant side a, and perpendicular height h Diagram of a parallelogram with labeled base b, slant side a, and perpendicular height h https://www.ajdesigner.com/pentagon/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/pentagon.svg Regular pentagon with side s and apothem a Diagram of a regular pentagon with labeled side s and apothem a from center to the midpoint of the bottom edge https://www.ajdesigner.com/pentagonal-prism/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/pentagonal-prism.svg Regular pentagonal prism with labeled edge a and length L Diagram of a regular pentagonal prism showing the pentagonal cross-section edge a and the prism length L https://www.ajdesigner.com/pyramid/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/pyramid.svg Square pyramid with labeled base side s and perpendicular height h Diagram of a square pyramid with labeled base side s and perpendicular height h https://www.ajdesigner.com/pythagorean-theorem/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/pythagorean-theorem.svg Pythagorean theorem: squares on legs a and b sum to the square on hypotenuse c Right triangle with squares drawn on each side, illustrating a squared plus b squared equals c squared https://www.ajdesigner.com/rectangle/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/rectangle.svg Rectangle with labeled length l and width w Diagram of a rectangle with labeled length l on the horizontal side and width w on the vertical side https://www.ajdesigner.com/rectangular-prism/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/rectangular-prism.svg Rectangular prism with labeled length l, width w, and height h Diagram of a rectangular prism showing length, width, and height labels on three visible edges https://www.ajdesigner.com/rhombus/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/rhombus.svg Rhombus with horizontal diagonal p, vertical diagonal q, and slant side s Diagram of a rhombus with horizontal diagonal p, vertical diagonal q, and slant side s https://www.ajdesigner.com/right-triangle/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/right-triangle.svg Right triangle diagram showing the Pythagorean theorem — two legs a and b meeting at a right angle, with hypotenuse c as the longest side opposite Labeled right triangle showing leg a (vertical, left side) and leg b (horizontal, bottom) meeting at a right angle at the bottom-left vertex, with hypotenuse c connecting the top-left vertex to the bottom-right vertex. https://www.ajdesigner.com/sphere/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/sphere.svg Sphere with labeled radius r Diagram of a sphere showing the radius r from center to surface https://www.ajdesigner.com/spherical-cap/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/spherical-cap.svg Spherical cap cut from a sphere of radius R by a horizontal plane Diagram of a spherical cap (dome shape) cut from a sphere of radius R, with cap height h and base radius a labeled https://www.ajdesigner.com/spherical-segment/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/spherical-segment.svg Spherical segment between two parallel planes cutting a sphere of radius R Diagram of a spherical segment cut from a sphere of radius R by two parallel planes, with upper circle radius a, lower circle radius b, and segment height h labeled https://www.ajdesigner.com/square/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/square.svg Square with side s and diagonal d Diagram of a square with all four sides labeled s and a diagonal line https://www.ajdesigner.com/square-pyramid-frustum/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/square-pyramid-frustum.svg Square pyramid frustum with labeled bottom edge a, top edge b, and height h Diagram of a square pyramid frustum (truncated square pyramid) showing bottom edge a, top edge b, and perpendicular height h https://www.ajdesigner.com/tetrahedron/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/tetrahedron.svg Regular tetrahedron with four equilateral-triangle faces and labeled edge a Diagram of a regular tetrahedron with four equilateral-triangle faces and labeled edge a https://www.ajdesigner.com/torus/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/torus.svg Torus with major radius R and minor radius r Diagram of a torus showing major radius R from center to tube center, and minor radius r as the tube radius https://www.ajdesigner.com/trapezoid/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/trapezoid.svg Trapezoid with parallel sides a (top) and b (bottom) and perpendicular height h Diagram of a trapezoid with labeled top side a, bottom side b, and perpendicular height h https://www.ajdesigner.com/triangle/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/triangle-abc.svg General triangle with sides a, b, c opposite to angles A, B, C Diagram of a general triangle with sides a, b, c and angles A, B, C https://www.ajdesigner.com/diagrams/triangle-base-height.svg Triangle with base and perpendicular altitude h Diagram of a triangle with base on the bottom and perpendicular altitude h from the top vertex https://www.ajdesigner.com/triangular-prism/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/triangular-prism.svg Triangular prism with equilateral cross-section: edge a, prism length L Diagram of a triangular prism with equilateral triangular cross-section, showing the edge length a and the prism length L https://www.ajdesigner.com/addition/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/binary/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/binary.svg Binary place values for an 8-bit number Binary place-value ladder: each column is a power of 2, with weights 128, 64, 32, 16, 8, 4, 2, 1. Example bits 10101010 add to 170. https://www.ajdesigner.com/exponent/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/exponent.svg Exponential growth curve: y = 2^x Exponential growth curve y equals 2 to the power of x https://www.ajdesigner.com/factorial/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/final-grade/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/fraction-addition/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/fraction-division/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/fraction-multiplication/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/fraction-simplify/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/fraction-subtraction/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/fraction-decimal/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/fraction-decimal.svg 3/8 marked on a number line as 0.375 Number line from 0 to 1 with a marker at 3/8, which equals 0.375 https://www.ajdesigner.com/fraction-gcf/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/hex/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/hex.svg Hex digits 0–F and their decimal values Hexadecimal digit reference: 0 through 9 represent values 0 to 9, and A through F represent values 10 to 15. https://www.ajdesigner.com/fraction-lcm/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/long-division/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/modulo/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/multiplication-grid/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/multiplication-lattice/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/number-sequence/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/number-sequence.svg Arithmetic vs geometric sequence number lines Number-line comparison: arithmetic sequence 1, 3, 5, 7, 9 above geometric sequence 1, 2, 4, 8, 16. Arithmetic terms are evenly spaced; geometric terms grow exponentially. https://www.ajdesigner.com/percentage/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/percentage.svg Percentage of a whole — 25% slice of a 100% bar A horizontal bar representing 100 percent, with the leftmost 25 percent shaded cyan to illustrate a portion of a whole. https://www.ajdesigner.com/prime-factorization/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/prime-factorization.svg Factor tree for 12 Factor tree for 12 = 2 × 2 × 3 https://www.ajdesigner.com/roman-numerals/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/root/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/root.svg y = √x on a coordinate plane Graph of y equals the square root of x from x = 0 to 16, with perfect-square points highlighted https://www.ajdesigner.com/subtraction/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/combinations-permutations/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/combinations-permutations.svg Choose 3 of 5 items — combinations and permutations Five circles labeled 1 through 5, with circles 1, 3, and 5 highlighted in cyan to represent choosing 3 out of 5 items https://www.ajdesigner.com/confidence-interval/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/mean-median-mode/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/mean-median-mode.svg Mean, median, mode dot-plot diagram Dot plot of the data set 2, 3, 4, 4, 6, 7, 7, 7 with the mean and median both at 5 and the mode at 7 https://www.ajdesigner.com/probability/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/probability.svg Two-circle Venn diagram for probability — A, B, intersection A ∩ B, and union A ∪ B Venn diagram with two overlapping circles labeled A and B; the lens-shaped intersection in the middle is shaded to represent P(A and B), and the union of both circles represents P(A or B) https://www.ajdesigner.com/sample-size/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/sample-size.svg Sample drawn from a larger population A large circle labeled population of size N filled with many small dots, with a smaller highlighted subset of dots inside representing the random sample of size n drawn from the population. https://www.ajdesigner.com/standard-deviation/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/standard-deviation.svg Standard deviation bell curve — 68-95-99.7 rule Normal distribution bell curve with one, two, and three standard deviation bands labeled with the 68 95 99.7 percent empirical rule https://www.ajdesigner.com/statistics/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/variance/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/variance.svg Variance — deviations from the mean Variance diagram: points on a number line with signed deviations from the mean and squared deviations https://www.ajdesigner.com/z-score/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/z-score.svg Normal curve: mean μ, standard deviation σ, and shaded tail beyond z Normal distribution bell curve with mean μ at the peak, standard deviation σ marked from the peak, and the right-tail area beyond z shaded https://www.ajdesigner.com/bilinear-interpolation/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/bilinear-interpolation.svg Bilinear interpolation grid with target point (x, y) Rectangle with four corner values Q11, Q21, Q12, Q22 and an interior point (x, y) marked with dashed crosshair lines to each edge https://www.ajdesigner.com/line-equation/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/line-equation.svg Line y = mx + b with slope m and y-intercept b Coordinate plane with a diagonal line showing y-intercept b and slope m as a rise-over-run triangle https://www.ajdesigner.com/linear-extrapolation/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/linear-extrapolation.svg Linear extrapolation: solid known segment, dashed predicted extension Two known data points connected by a solid line and a dashed extension reaching a predicted point beyond the data https://www.ajdesigner.com/linear-interpolation/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/linear-regression/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/linear-regression.svg Linear regression scatter plot with fitted line Scatter plot of five data points with the least-squares regression line drawn through them; dashed vertical segments show the residuals between each point and the line. https://www.ajdesigner.com/logarithm/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/natural-log/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/quadratic/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/quadratic.svg Quadratic parabola with roots x₁, x₂, vertex, and y-intercept c Parabola opening upward, crossing the x-axis at two roots x₁ and x₂ with vertex below the axis and y-intercept c https://www.ajdesigner.com/slope/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/slope.svg Slope diagram A Cartesian plane with two points P1 at (1, 2) and P2 at (4, 8) connected by a straight line. A right triangle below the line shows the rise (Delta y) and run (Delta x) used to compute the slope m equals rise over run. https://www.ajdesigner.com/trigonometry/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/uniform-series-future-value/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/uniform-series-present-value/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/bank-discounts/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/break-even-ratio/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/capital-recovery/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/cash-on-cash/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/compound-interest/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/diagrams/compound-interest.svg Compound Interest Growth Curve Compound interest growth diagram: principal grows exponentially to final amount over time, with tick marks indicating compounding intervals. https://www.ajdesigner.com/compounding-discount/ 2026-05-26 monthly 0.8 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0.8 https://www.ajdesigner.com/diagrams/npv.svg NPV cash flow timeline diagram NPV cash flow timeline: an initial outflow at year 0 with three discounted future inflows at years 1, 2, and 3 https://www.ajdesigner.com/present-value/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/present-worth/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/profitability-index/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/return-on-equity/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/rule-of-72/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/sales-tax/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/sinking-fund/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/adjusted-basis/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/capitalization-rate/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/debt-coverage-ratio/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/debt-to-income/ 2026-05-26 monthly 0.8 https://www.ajdesigner.com/gain-on-sale/ 2026-05-26 monthly 0.8 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