Analytical Mechanics Course
Dive into analytical mechanics using the cart-pendulum system. Master building Lagrangian and Hamiltonian models, analysing small oscillations and normal modes, and applying practical tools for accurate physics experiments and advanced research projects. Gain skills for real-world dynamic systems analysis.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course provides a clear path to mastering generalised coordinates, constraints, and energy methods for complex cart-pendulum systems. Learners will construct Lagrangian and Hamiltonian formulations, derive coupled equations, examine small oscillations and normal modes, and use 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 use Hamilton’s equations.
- Analyse small oscillations, find normal modes, and explain mode shapes.
- Model constraints using generalised coordinates and d’Alembert’s principle.
- Use approximations, damping, and parameter studies for precise 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 workloadWhat our students say
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