Analytical Mechanics Course
Dive into analytical mechanics using the cart-pendulum example. Develop Lagrangian and Hamiltonian approaches, explore small oscillations and normal modes, and utilise practical tools for accurate physics experiments and cutting-edge research. Gain skills to tackle complex dynamical systems with confidence and precision in real-world applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a clear pathway to mastering generalised coordinates, constraints, and energy-based methods for intricate cart-pendulum setups. Learners will construct Lagrangian and Hamiltonian frameworks, solve coupled equations, examine small vibrations and normal modes, and incorporate damping, external forces, and modelling techniques for precise dynamic studies and experiments.
Elevify advantages
Develop skills
- Formulate Lagrangians and solve Euler-Lagrange equations for practical systems.
- Develop Hamiltonians, employ canonical variables, and solve Hamilton's equations.
- Examine small oscillations, determine normal modes, and analyse mode shapes.
- Handle constraints using generalised coordinates and d’Alembert’s principle.
- Implement approximations, damping effects, and parameter analysis for exact 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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