Analytical Mechanics Course
Gain expertise in analytical mechanics using the cart-pendulum system. Construct Lagrangian and Hamiltonian models, examine small oscillations and normal modes, and implement practical tools for precise physics experiments and advanced research projects. Ideal for deepening understanding of dynamic systems in engineering and science.

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 for complex cart-pendulum systems. You will develop Lagrangian and Hamiltonian formulations, derive coupled equations, analyse small oscillations and normal modes, and use damping, driving forces, and practical strategies for accurate 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 accurate 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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