from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a clear path to master generalized coordinates, constraints, and energy methods in complex cart-pendulum systems. Learners will build Lagrangian and Hamiltonian formulations, derive coupled equations, analyze small oscillations and normal modes, and apply damping, driving forces, and modeling strategies for accurate dynamic analyses and reliable 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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