Analytical Mechanics Course
This course on analytical mechanics uses the cart-pendulum system to teach Lagrangian and Hamiltonian formulations. Learners will derive coupled equations, study small oscillations and normal modes, and use damping, driving forces, and modeling techniques for accurate dynamic analysis in physics experiments and research. It equips students with skills for advanced mechanical system studies.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
Master generalized coordinates, constraints, and energy methods for cart-pendulum systems in this Analytical Mechanics Course. Formulate Lagrangians and Hamiltonians, derive coupled equations, analyze oscillations and normal modes, and implement damping, driving forces, and modeling for reliable dynamic analyses and experiments.
Elevify advantages
Develop skills
- Build Lagrangians and derive Euler-Lagrange equations for real systems.
- Construct Hamiltonians, use canonical variables, and apply Hamilton’s equations.
- Analyze small oscillations, compute normal modes, and interpret mode shapes.
- Model constraints with generalized coordinates and d’Alembert’s principle.
- Apply approximations, damping, and parameter studies to precision 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 workload.What our students say
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