Interactive lessons

Dynamics
motion, forces & energy

Each lesson is an interactive tool you can fiddle with — scrub through kinematic curves, launch projectiles, and collide bodies in real time. Build physical intuition for why things move the way they do before writing a single equation.

Kinematics

— 3 of 3 complete
x(t) v(t) a(t) scrub time x, v, a linked
Kinematics — 01
Kinematics in 1D
Scrub a time cursor through position, velocity, and acceleration curves simultaneously. Drag one curve to reshape it and watch the others update — feel the derivative relationship in your hands.
interactive · 3-panel · scrub →
θ h R drag angle set speed
Kinematics — 02
Projectile Motion
Set launch angle and speed; trace the parabola and read off range, max height, and time of flight. See why 45° maximises range and how air resistance bends the symmetric arc.
interactive · 2D · sliders →
m F f a = F/m ΣF = ma vary F, m live a(t)
Kinematics — 03
Newton’s Second Law
Adjust applied force, friction, and mass with sliders; watch acceleration and the resulting trajectory update in real time. ΣF = ma becomes something you can feel, not just write.
interactive · sliders · animated →

Energy & Momentum

— 3 of 3 complete
KE PE Q h energy bars drag ball
Energy — 04
Work & Energy
Drag a ball along a track with friction. A live energy bar chart shows KE, PE, and heat generated — watch the total mechanical energy shrink as work is done against friction.
interactive · energy bars · friction →
m₁ m₂ ! p₁ + p₂ = constant elastic / inelastic vary masses
Energy — 05
Impulse & Momentum
Set masses and velocities in a two-body collision sandbox. Toggle between elastic and inelastic; watch total momentum stay constant while kinetic energy changes.
interactive · collision · conservation →
a, v r vary speed vary radius
Energy — 06
Circular Motion
A particle on a string: vary speed and radius and watch the centripetal acceleration and required tension update live. See why doubling the speed quadruples the force needed to keep the orbit.
interactive · 2D · centripetal →

Rotation & Oscillation

— 2 of 2 complete
disk ½mr² ring mr² rod ˳¹₂mL² α = τ/I toggle shape
Rotation — 07
Moment of Inertia
Toggle between disk, ring, rod, and hollow cylinder. Watch I change and see the effect on angular acceleration α = τ/I — same torque, very different response depending on how mass is distributed.
interactive · cross-sections · toggle →
m x phase portrait set amplitude drag k, m
Rotation — 08
Simple Harmonic Motion
Spring–mass or pendulum: drag to set amplitude, adjust k and m with sliders, and watch displacement, velocity, and the phase portrait ellipse animate together in real time.
interactive · animated · phase portrait →