Analytical Mechanics Course
Dive into analytical mechanics using the cart-pendulum system. Develop Lagrangian and Hamiltonian models, examine small oscillations and normal modes, and employ practical tools for accurate physics experiments and advanced research projects. Gain skills for reliable dynamic modelling in real-world applications.

from 4 to 360h flexible workload
certificate valid 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, analyse small oscillations and normal modes, and use damping, driving forces, and modelling techniques for precise dynamic analyses and experiments.
Elevify advantages
Develop skills
- Develop Lagrangians and derive Euler-Lagrange equations for practical systems.
- Build Hamiltonians, apply canonical variables, and solve Hamilton’s equations.
- Examine small oscillations, determine normal modes, and explain mode shapes.
- Use generalised coordinates and d’Alembert’s principle to handle constraints.
- Implement approximations, damping, and parameter analysis 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
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