Use vectors, trajectories, circular motion, turning effects, momentum, and collisions to read motion and interactions on one compact simulation-first branch.
Mechanics is the place to start when you want the language of motion and the interactions that reshape it, without mixing in the separate gravity branch. The page stays compact by grouping the catalog into motion-reading ideas, a bounded rotational branch, and momentum-driven interactions instead of asking you to scan every module cold.
Best first concepts
The topic page keeps these starts in their own compact row so the first screen is about orientation and next action, not stacked feature cards.
Rotate 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
Strong first stop for getting into this topic without scanning the whole library.
Launch a projectile, watch the trajectory form, and connect the range, height, and component motion to the launch settings.
Two-dimensional motion
Strong first stop for getting into this topic without scanning the whole library.
Specific learning goals
These goal cards stay authored and transparent. They reuse the current topic page, starter tracks, guided collections, concept bundles, and progress cues instead of adding a separate recommendation system on top of this branch.
Use the vectors topic page, the new bridge collection, the short bridge track, and the mechanics topic page so vectors feel like one language before motion problems take over.
Entry diagnostic
Start from the opening step
No saved diagnostic checks are available yet, so the opening step is still the best entry into the collection.
Reuses the guided collection entry for Vectors to Mechanics Bridge, with 0 of 3 probes already ready.
No saved progress yet inside Vectors.
Open the vectors topic page is the next guided collection step.
Vectors in 2D is the next best step inside Vectors and Motion Bridge.
No saved progress yet inside Mechanics.
Grouped concept overview
Each group is authored for this topic, but the actual concepts, progress badges, and track cues still come from the canonical concept metadata and shared progress model.
Group 01
Build the coordinate and component language first, then use it in projectile motion and circular motion on the same mechanics branch.
Rotate and scale a live vector, decompose it into horizontal and vertical parts, and watch those components drive the same straight-line motion and geometry.
Strong first stop for getting into this topic without scanning the whole library.
Launch a projectile, watch the trajectory form, and connect the range, height, and component motion to the launch settings.
Strong first stop for getting into this topic without scanning the whole library.
A strong first concept for opening concepts without committing to a full track.
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.
Group 02
Stay with one compact rotational branch: turning effect, balance, rotational inertia, rolling motion, and angular momentum all stay on the same mechanics shelf.
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.
Group 03
Keep force over time, system totals, and collision outcomes together so the interaction story stays causal instead of formula-by-formula.
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.
Use two carts to see the conservation rule in action: with no outside push, the system's total momentum stays fixed even while each cart's momentum and speed change.
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.
