Interactive lessons

Statics
forces in equilibrium

Each lesson is an interactive tool you can fiddle with — drag force arrows, build trusses, and balance beams by hand before reaching for an equation. Develop physical intuition for why things stay still.

0/8
Get started 0 of 8 lessons complete

Forces & Equilibrium

— 0 of 3 complete
✓ done
W N F f ΣF = 0 • drag forces
Forces — 01
Free Body Diagrams
Place a body on a surface and add forces by dragging arrows. Watch the resultant vector update live and toggle the equilibrium check — does ΣF really equal zero?
interactive · drag forces · resultant →
✓ done
F₁ F₂ W force polygon concurrent forces
Forces — 02
Equilibrium of a Particle
Drag force magnitudes and angles until the particle is in equilibrium. The force polygon closes when ΣF = 0 — geometry and algebra say the same thing.
interactive · 2D · force polygon →
✓ done
F M = F·d d drag force M = F·d
Forces — 03
Moments & Torque
Drag a force along a beam and watch the moment arm and torque readout change. See how distance from the pivot matters as much as force magnitude.
interactive · beam · draggable →

Distributed Loads & Beams

— 0 of 3 complete
✓ done
Fₑₙ shape load equiv. point load
Beams — 04
Distributed Loads
Shape a load distribution — uniform, triangular, or parabolic — and watch the equivalent point load magnitude and position update live as the resultant of the whole distributed force.
interactive · slider · resultant →
✓ done
P tension compression
Beams — 05
Trusses
Apply a load to a simple truss and see member forces computed by method of joints. Members colour blue for tension and red for compression — feel which direction each bar is being pulled.
interactive · method of joints · colour-coded →
✓ done
V M drag load V & M live
Beams — 06
Shear & Moment Diagrams
Place loads and supports on a beam; V and M diagrams draw themselves as you drag. See how a point load creates a jump in shear and a kink in the moment diagram.
interactive · live diagrams · draggable →

Friction & Centroids

— 0 of 2 complete
✓ done
W f θ drag angle static / kinetic
Friction — 07
Friction & the Friction Cone
Drag a block up a ramp; toggle between static and kinetic regimes and watch the friction force flip direction at the tipping angle. The friction cone visualises the no-slip condition geometrically.
interactive · ramp · friction cone →
✓ done
C₁ C₂ C resize shapes x̄, ȳ live
Centroids — 08
Centroids & Centre of Mass
Build a composite shape from rectangles and triangles; resize each piece and watch the overall centroid migrate live. See how area weighting determines where the “balance point” sits.
interactive · composite · area weighting →