Analytical Mechanics Course
Dive into analytical mechanics using the cart-pendulum system. Develop Lagrangian and Hamiltonian models, explore small oscillations and normal modes, and use practical tools for accurate physics experiments and research. Gain skills in generalised coordinates, constraints, and advanced energy methods to tackle complex dynamics confidently.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a clear path to mastering generalised coordinates, constraints, and energy methods in complex cart-pendulum systems. Learners will construct Lagrangian and Hamiltonian formulations, solve coupled equations, examine small oscillations and normal modes, and incorporate damping, driving forces, and modelling techniques for precise dynamic analysis and experiments.
Elevify advantages
Develop skills
- Build Lagrangians and derive Euler-Lagrange equations for practical systems.
- Construct Hamiltonians, apply canonical variables, and solve Hamilton’s equations.
- Examine small oscillations, determine normal modes, and analyse mode shapes.
- Use generalised coordinates and d’Alembert’s principle to handle constraints.
- Implement damping, approximations, and parameter studies for precise experiments.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
Your lessons are perfect. I purchased the one-year package and finally have the opportunity to follow various topics of my interest without needing to change platforms... I thank you for everything you do, I've already recommended you to other people...

Giulio CarloDigital Marketing Student
I like how the lessons are straight to the point and how I can change chapters and skip content I don't need.

Mariana FerresPhotography Student
I like the content and the way videos are presented and transcribed, which speeds up the process!

Luciana AlvarengaNail Design Student
The platform is fast, simple to use. The diversity of content and complementary videos really help with learning.

André FelipePrompt Engineering Student
FAQ
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an online course and how does it work?
PDF Course