Duration of the online course: 39 hours and 59 minutes
4.5
(4)
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
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 Frames54m
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 Laws1h11m
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. Frames1h14m
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 Coordinates56m
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 Frames47m
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. Torque1h06m
Exercise: What is the relationship between angular momentum and torque in rotational motion?
Video class: R3. Motion in Moving Reference Frames41m
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 Forces1h12m
Exercise: What happens to the surface of the fluid in a box sliding down a slope without friction?
Video class: R4. Free Body Diagrams41m
Exercise: What concept from systems of particles can be used to determine total force or momentum?
Video class: 9. Rotating Imbalance1h14m
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 Bodies1h09m
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 Motion43m
Exercise: How many independent coordinates are needed to describe the motion of the system discussed?
Video class: 11. Mass Moment of Inertia of Rigid Bodies1h09m
Exercise: What is the main advantage of finding principal axes of a rigid body?
Video class: 12. Problem Solving Methods for Rotating Rigid Bodies1h11m
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 Torque33m
Exercise: What indicates a statically balanced object?
Video class: 13. Four Classes of Problems With Rotational Motion1h03m
Exercise: Which are the primary equations recommended for dynamics problems?
Video class: 14. More Complex Rotational Problems1h14m
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 Method42m
Exercise: What two types of potential energy are primarily discussed in the video?
Video class: Notation Systems06m
Video class: 15. Introduction to Lagrange With Examples1h21m
Video class: R8. Cart and Pendulum, Lagrange Method35m
Video class: 16. Kinematic Approach to Finding Generalized Forces1h13m
Video class: 17. Practice Finding EOM Using Lagrange Equations1h17m
Video class: R9. Generalized Forces44m
Video class: 18. Quiz Review From Optional Problem Set 837m
Video class: 19. Introduction to Mechanical Vibration1h14m
Video class: 20. Linear System Modeling a Single Degree of Freedom Oscillator1h15m
Video class: 21. Vibration Isolation1h20m
Video class: 22. Finding Natural Frequencies1h23m
Video class: R10. Steady State Dynamics29m
Video class: 23. Vibration by Mode Superposition1h17m
Video class: 24. Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix1h21m
Video class: R11. Double Pendulum System40m
Video class: 25. Modal Analysis: Response to IC's and to Harmonic Forces1h18m
Video class: 26. Response of 2-DOF Systems by the Use of Transfer Functions1h21m
Video class: 27. Vibration of Continuous Structures: Strings, Beams, Rods, etc.1h12m
Video class: R12. Modal Analysis of a Double Pendulum System52m
This free course includes:
39 hours and 59 minutes of online video course
Digital certificate of course completion (Free)
Exercises to train your knowledge
100% free, from content to certificate
Ready to get started?Download the app and get started today.
Course comments: Engineering Dynamics
Jyoti ranjan Behera
hii iam join your class