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Analytical Mechanics Course

Analytical Mechanics Course
from 4 to 360h flexible workload
certificate valid 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, analyse small oscillations and normal modes, and use damping, driving forces, and modelling techniques for precise 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 precise 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.
Workload: between 4 and 360 hours

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