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Concept
18 resultsRotate and scale a live vector, decompose it into horizontal and vertical parts, and watch those components drive the same straight-line motion and geometry.
Combine, subtract, and scale vectors on one plane so magnitude, direction, and components stay tied to the same live object.
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.
Read complex numbers as points and vectors on one plane, then keep addition and multiplication geometric instead of symbolic-only.
Push on one pivoted bar and see how lever arm distance, force direction, and turning effect stay tied to the same compact rotational bench.
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.
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.
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.
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.
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.
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.
See 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.
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.
Topic
5 resultsUse one 2D plane to read vectors as both arrows and ordered pairs, then bridge that same language into motion without building a separate math system.
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.
Use one parent-curve bench to read shifts, reflections, and vertical scale as visible moves on the graph before the math path widens into local and accumulated change.
Start from slope on the graph itself, then widen into signed area and accumulation so rate and total change stay connected on one visual branch.
Use one bounded math branch where the complex plane, geometric multiplication, and motion traced from equations all stay tied to the same coordinate language.
Starter track
3 resultsStart with vectors as geometric objects on a 2D plane, then carry the same component language into the existing motion-facing vectors bench.
Start with vector components, move into projectile paths, and then use circular motion to understand how velocity can keep changing direction.
Start with complex numbers as points on one plane, then carry that same coordinate language into motion traced from x(t) and y(t).
Subject
2 resultsEnter the current physics catalog through live motion, waves, fields, circuits, and modern-physics benches that still share one compact simulation-first product language.
Enter the current math slice through functions, change, vectors, complex-plane geometry, and parametric motion without leaving the same live-bench product language used elsewhere on the site.