Free Course Image Engineering Dynamics

Free online courseEngineering Dynamics

Duration of the online course: 39 hours and 59 minutes

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Build real dynamics skills for mechanical systems—learn Newton’s laws, rotating frames, vibration and Lagrange methods in a free online course with practice.

In this free course, learn about

  • Historical foundations of dynamics; motion observed in moving reference frames
  • Newton’s laws and their application to particle and rigid-body motion
  • Center of mass motion and momentum methods for systems of particles
  • Kinematics in translating/rotating frames: relative velocity, acceleration, polar coordinates
  • Fictitious forces in rotating frames (Coriolis, centrifugal) and real-world effects (e.g., shooting)
  • Impulse, torque, and angular momentum relations; equations of motion for rigid bodies
  • Degrees of freedom, constraints, and building correct free-body diagrams
  • Mass moment of inertia, principal axes, and static/dynamic balancing of rotating bodies
  • Structured problem-solving workflow for engineering dynamics and selecting core equations
  • Lagrange’s equations, generalized coordinates, and methods to compute generalized forces
  • Modeling mechanical vibrations: SDOF oscillators, isolation, natural frequency, steady-state response
  • Modal analysis for MDOF systems: mode shapes, orthogonality, M/C/K matrices, transfer functions
  • Vibration of continuous structures (strings, beams, rods) and mode superposition approaches

Course Description

Engineering dynamics is the bridge between theory and real moving machines. This free online course helps you build the intuition and problem-solving habits needed to analyze motion, forces, and energy in mechanical and industrial systems—skills used in design, automation, reliability, robotics, and product development.

You will learn how to describe motion accurately, choose useful reference frames, and translate physical situations into clear equations. Along the way, you’ll develop confidence with Newton’s laws, impulse and momentum, torque and angular momentum, and the behaviors that appear when systems rotate. Instead of treating rotating frames as a confusing exception, you’ll learn to recognize when effects like Coriolis acceleration matter and how to reason about apparent forces without losing the underlying physics.

The course also strengthens foundational engineering workflow: drawing free-body diagrams that actually guide the solution, identifying degrees of freedom, and selecting the right approach for each problem. You will see how these decisions simplify complex scenarios, especially for rigid-body motion and systems with constraints, where the choice of coordinates can make the difference between a messy derivation and a clean result.

As you progress, you will connect dynamics to modern modeling techniques, including Lagrange’s equations and generalized forces—tools that are widely used in simulation, controls, and multibody analysis. Finally, you’ll build a practical understanding of mechanical vibration: single and multi-degree-of-freedom oscillators, natural frequencies, vibration isolation, and modal concepts such as orthogonality and system response. With integrated questions and exercises, you’ll practice turning concepts into results so you can apply what you learn to engineering coursework and real projects.

Course content

  • Video class: 1. History of Dynamics; Motion in Moving Reference Frames 54m
  • Exercise: _Who was the mathematician that did 20 years of observations to prove that the Earth was the center of the solar system?
  • Video class: 2. Newton's Laws 1h11m
  • Exercise: What is the effect of Earth's rotation on long-range shooting accuracy?
  • Video class: 3. Motion of Center of Mass; Acceleration in Rotating Ref. Frames 1h14m
  • Exercise: _What is the best way to approach a problem in engineering dynamics?
  • Video class: 4. Movement of a Particle in Circular Motion w/ Polar Coordinates 56m
  • Exercise: What is the reason for observed acceleration with no radial force present in a rotating system?
  • Video class: R2. Velocity and Acceleration in Translating and Rotating Frames 47m
  • Exercise: _Where would you assign the rotating, translating frame in a problem involving reference frames?
  • Video class: 5. Impulse, Torque, 1h17m
  • Exercise: What does Coriolis force affect in the motion of a rotating system?
  • Video class: 6. Torque 1h06m
  • Exercise: What is the relationship between angular momentum and torque in rotational motion?
  • Video class: R3. Motion in Moving Reference Frames 41m
  • Exercise: What is the correct formula for finding the coefficient of friction in this dynamics problem?
  • Video class: 7. Degrees of Freedom, Free Body Diagrams, 1h11m
  • Exercise: What is the number of degrees of freedom in the rod against the wall example?
  • Video class: 8. Fictitious Forces 1h12m
  • Exercise: What happens to the surface of the fluid in a box sliding down a slope without friction?
  • Video class: R4. Free Body Diagrams 41m
  • Exercise: What concept from systems of particles can be used to determine total force or momentum?
  • Video class: 9. Rotating Imbalance 1h14m
  • Exercise: What is the primary function of a commercial shaker used in a nuclear power plant?
  • Video class: 10. Equations of Motion, Torque, Angular Momentum of Rigid Bodies 1h09m
  • Exercise: How many independent degrees of freedom are needed to define the motion of the system involving a cart connected to a mass?
  • Video class: R5. Equations of Motion 43m
  • Exercise: How many independent coordinates are needed to describe the motion of the system discussed?
  • Video class: 11. Mass Moment of Inertia of Rigid Bodies 1h09m
  • Exercise: What is the main advantage of finding principal axes of a rigid body?
  • Video class: 12. Problem Solving Methods for Rotating Rigid Bodies 1h11m
  • Exercise: What simplifies the rotation equation for a rigid body with a fixed axis through the center of gravity?
  • Video class: R6. Angular Momentum and Torque 33m
  • Exercise: What indicates a statically balanced object?
  • Video class: 13. Four Classes of Problems With Rotational Motion 1h03m
  • Exercise: Which are the primary equations recommended for dynamics problems?
  • Video class: 14. More Complex Rotational Problems 1h14m
  • Exercise: What is the mass moment of inertia (IzzG) of a uniform stick about its center of mass (G)?
  • Video class: R7. Cart and Pendulum, Direct Method 42m
  • Exercise: What two types of potential energy are primarily discussed in the video?
  • Video class: Notation Systems 06m
  • Video class: 15. Introduction to Lagrange With Examples 1h21m
  • Video class: R8. Cart and Pendulum, Lagrange Method 35m
  • Video class: 16. Kinematic Approach to Finding Generalized Forces 1h13m
  • Video class: 17. Practice Finding EOM Using Lagrange Equations 1h17m
  • Video class: R9. Generalized Forces 44m
  • Video class: 18. Quiz Review From Optional Problem Set 8 37m
  • Video class: 19. Introduction to Mechanical Vibration 1h14m
  • Video class: 20. Linear System Modeling a Single Degree of Freedom Oscillator 1h15m
  • Video class: 21. Vibration Isolation 1h20m
  • Video class: 22. Finding Natural Frequencies 1h23m
  • Video class: R10. Steady State Dynamics 29m
  • Video class: 23. Vibration by Mode Superposition 1h17m
  • Video class: 24. Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix 1h21m
  • Video class: R11. Double Pendulum System 40m
  • Video class: 25. Modal Analysis: Response to IC's and to Harmonic Forces 1h18m
  • Video class: 26. Response of 2-DOF Systems by the Use of Transfer Functions 1h21m
  • Video class: 27. Vibration of Continuous Structures: Strings, Beams, Rods, etc. 1h12m
  • Video class: R12. Modal Analysis of a Double Pendulum System 52m

This free course includes:

39 hours and 59 minutes of online video course

Digital certificate of course completion (Free)

Exercises to train your knowledge

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Course comments: Engineering Dynamics

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Jyoti ranjan Behera

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hii iam join your class

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