Visualizations
Interactive simulations to build intuition for engineering concepts. Drag, adjust, and explore - learn by doing.
Beam Loading Lab
Place point loads on a simply-supported beam and watch the shear force and bending moment diagrams update in real time.
•Understand how load placement affects shear and moment
•Visualize the relationship between V(x) and M(x)
1D Vector Builder
Add vectors on a number line and see tip-to-tail addition with the resultant.
•Understand vector direction and magnitude in 1D
•Visualize tip-to-tail addition
Truss Explorer
Load preset truss configurations and see member forces calculated. Toggle between method of joints and method of sections views.
•Understand tension vs compression in truss members
•See how external loads distribute through a truss
Pulley Systems
Build compound pulley systems and see how mechanical advantage multiplies. Add pulleys and observe the force reduction.
•Understand mechanical advantage in pulley systems
•See how rope tension distributes across pulleys
Projectile Launcher
Fire a projectile at any angle and speed. Compare multiple trajectories and see range, height, and time of flight update in real time.
•Understand horizontal and vertical motion as independent components
•Find maximum range and optimal launch angle
Spring Oscillations
Set a mass-spring system in motion and watch it oscillate. Adjust mass and stiffness to see how they affect period and amplitude.
•Apply Hooke's Law: F = -kx
•Understand how mass and spring constant affect oscillation period
Gear Train & Ratios
Mesh gears of different sizes and watch the rotational speed and torque trade off. Explore compound gear trains for large ratio reductions.
•Calculate gear ratio from tooth counts
•Understand the speed-torque trade-off in a gear train
Optics Bench
Place converging and diverging lenses on a virtual bench and trace rays from a light source. See how lens position and focal length create real and virtual images.
•Apply the thin-lens equation: 1/f = 1/do + 1/di
•Distinguish between real and virtual images
Prism & Dispersion
Aim a laser at a glass prism and watch white light split into a spectrum. Adjust the prism angle and see how each wavelength refracts differently.
•Understand chromatic dispersion: different wavelengths refract at different angles
•Apply Snell's Law at each interface
Calculus Grapher
Plot any function and see its first and second derivatives drawn live below it. Move a cursor to read exact values at any point.
•Connect a function's shape to the sign and magnitude of its derivative
•Identify inflection points as zero-crossings of the second derivative
2D Equilibrium Solver
Build arbitrary 2D structures with points, parts, and connections. Apply forces and supports, then see reaction forces computed automatically with step-by-step solutions.
•Apply static equilibrium equations to solve for unknown reactions in arbitrary 2D structures
•Understand how support type (pin, roller, fixed) determines constraint unknowns
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