Analytical Mechanics Course
Master analytical mechanics via the cart-pendulum system. Develop Lagrangian and Hamiltonian models, examine small oscillations and normal modes, and use practical modelling tools for precise physics experiments and advanced research. This course equips you with key methods for dynamic systems analysis in research and engineering contexts.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This Analytical Mechanics Course offers a targeted approach to mastering generalised coordinates, constraints, and energy methods for complex cart-pendulum systems. You will construct Lagrangian and Hamiltonian formulations, derive coupled equations, analyse small oscillations and normal modes, and implement damping, driving forces, and modelling strategies for reliable dynamic analyses and experiments.
Elevify advantages
Develop skills
- Build Lagrangians and derive Euler-Lagrange equations for real systems.
- Construct Hamiltonians, use canonical variables, and apply Hamilton’s equations.
- Analyse small oscillations, compute normal modes, and interpret mode shapes.
- Model constraints with generalised coordinates and d’Alembert’s principle.
- Apply approximations, damping, and parameter studies to precision experiments.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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