Open EngineeringInteractive dynamics modules

FreeInteractiveWorks offline

Learn engineering dynamics by watching it move.

Short, interactive lessons for first- and second-year dynamics. Animated figures draw the vectors as the motion happens, every lesson has worked examples and questions with instant feedback, and each module ends with practice and a self-check quiz.

Browse the modules Start with Curvilinear Motion
  • 4 modules
  • 33 lessons
  • About 18 hours of study
  • No account needed
A particle moves around a curved path. Its velocity arrow stays tangent to the path, its acceleration arrow points toward the inside of the curve, and a dashed circle shows the local radius of curvature. v a ρ
velocity, tangent to the path acceleration radius of curvature

The modules

Each module is a complete unit: eight or nine lessons, then practice, a quiz, a printable worksheet, an interactive explorer, a formula sheet and a glossary. Take them in the order shown; the second module of each pair builds on the first.

Particle dynamics

First-year engineering dynamics

Plane curvilinear motion of a particle in rectangular (x–y) and path (n–t) coordinates: motion vectors, projectile motion, tangential and normal acceleration, and the radius of curvature.

  • 9 lessons
  • About 5 hours
  • Motion Explorer

Lessons
  1. 1From Straight Lines to Curves20 min
  2. 2Position, Velocity and Acceleration Vectors30 min
  3. 3Rectangular (x–y) Components35 min
  4. 4Projectile Motion40 min
  5. 5Path Coordinates: Tangential and Normal30 min
  6. 6Acceleration in Path Coordinates35 min
  7. 7Radius of Curvature30 min
  8. 8Connecting x–y and n–t Components35 min
  9. 9Choosing a System: Engineering Applications35 min

Practice Lab · Self-Check Quiz · Worksheet · Motion Explorer · Formula Sheet · Glossary

Open the module Download for offline use (0.6 MB)

Kinematics and kinetics of a particle in polar and cylindrical coordinates (r, θ, z): unit vectors that turn, velocity and acceleration components, paths given as r = f(θ), and the equations of motion.

  • 8 lessons
  • About 4.5 hours
  • Motion Explorer

Lessons
  1. 1Why Cylindrical Coordinates?20 min
  2. 2Position in Polar and Cylindrical Coordinates30 min
  3. 3Unit Vectors That Turn30 min
  4. 4Velocity30 min
  5. 5Acceleration35 min
  6. 6Paths Given as r = f(θ)35 min
  7. 7Equations of Motion40 min
  8. 8Kinetics Applications40 min

Practice Lab · Self-Check Quiz · Worksheet · Motion Explorer · Formula Sheet · Glossary

Open the module Download for offline use (0.9 MB)

Rigid-body dynamics

Second-year engineering dynamics

Moments of inertia by integration, the parallel-axis theorem and composite bodies, then products of inertia, the inertia tensor, the moment of inertia about any axis, and principal axes, with 3D figures you can turn.

  • 8 lessons
  • About 4.5 hours
  • Inertia Explorer

Lessons
  1. 1Why Mass Moments of Inertia?25 min
  2. 2Moments of Inertia by Integration35 min
  3. 3The Parallel-Axis Theorem30 min
  4. 4Composite Bodies35 min
  5. 5Products of Inertia35 min
  6. 6The Inertia Tensor and Angular Momentum35 min
  7. 7Moment of Inertia About Any Axis30 min
  8. 8Principal Axes and Principal Moments40 min

Practice Lab · Self-Check Quiz · Worksheet · Inertia Explorer · Formula Sheet · Glossary

Open the module Download for offline use (0.9 MB)

Module 4

Angular Momentum

From the angular momentum of a particle to systems of particles and rigid bodies: angular impulse, impact, angular momentum in three dimensions, Euler's equations and gyroscopic motion, with live simulations.

  • 8 lessons
  • About 4.5 hours
  • Spin Lab

Lessons
  1. 1Angular Momentum of a Particle30 min
  2. 2Angular Impulse and Momentum35 min
  3. 3Systems of Particles30 min
  4. 4Rigid Bodies in Plane Motion35 min
  5. 5Impulse, Momentum and Impact of Rigid Bodies40 min
  6. 6Angular Momentum in Three Dimensions35 min
  7. 7Euler's Equations of Motion35 min
  8. 8Gyroscopic Motion40 min

Practice Lab · Self-Check Quiz · Worksheet · Spin Lab · Formula Sheet · Glossary

Open the module Download for offline use (0.9 MB)

What's inside every module

The same layout throughout, so once you know one module you know them all.

  • Figures that move

    Animated and 3D figures draw velocity, acceleration, momentum and inertia as you change the inputs with sliders.

  • Worked examples

    Step-by-step solutions in textbook notation (Hibbeler), with free-body diagrams and the reasoning behind each step.

  • Instant feedback

    Questions inside every lesson check your answer as you go and explain the common mistakes.

  • Practice and a quiz

    A Practice Lab generates fresh problems on demand, and a 15-question Self-Check Quiz tells you where you stand.

  • Print what you need

    A two-page formula sheet and a printable worksheet for paper practice, plus a glossary of every term.

  • Works offline

    Use the modules here, or download one and open it from your computer with no internet connection at all.

Using the modules

Nothing to install and no account to create.

In your browser

  • Open a module above and start with Lesson 1, or jump straight to any lesson from its list.
  • Your progress is saved in this browser as you mark lessons complete, and shows on this page. It stays on your device; nothing is sent anywhere.
  • Any current browser works: Chrome, Edge, Firefox or Safari, on a laptop, tablet or phone. A larger screen is best for the 3D figures.
  • Dark mode follows your system setting; each module also has its own switch.

Offline

Each download is a small zip of the whole module.

  1. Download the zip and extract it (Windows: right-click › Extract All; macOS: double-click).
  2. Open the extracted folder and double-click index.html.