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
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