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Analytical Mechanics Course

Analytical Mechanics Course
flexible workload of 4 to 360h
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. Learners will construct Lagrangian and Hamiltonian formulations, derive coupled equations, examine small oscillations and normal modes, and use damping, driving forces, and modelling techniques for precise dynamic analysis and experiments.

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Develop skills

  • Build Lagrangians and derive Euler-Lagrange equations for practical systems.
  • Construct Hamiltonians, apply canonical variables, and use Hamilton’s equations.
  • Analyse small oscillations, find normal modes, and explain mode shapes.
  • Model constraints using generalised coordinates and d’Alembert’s principle.
  • Use approximations, damping, and parameter studies for precise 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
Workload: between 4 and 360 hours

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