Analytical Mechanics Course
Dive into analytical mechanics using the cart-pendulum example. Develop Lagrangian and Hamiltonian models, explore small oscillations and normal modes, and use practical tools for accurate physics experiments and cutting-edge research. Gain skills to tackle complex systems with confidence and precision in dynamic analysis.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a clear pathway to mastering generalised coordinates, constraints, and energy techniques for intricate cart-pendulum setups. Learners will construct Lagrangian and Hamiltonian frameworks, solve coupled equations, examine small vibrations and normal modes, and incorporate damping, external forces, and real-world modelling to create precise dynamic studies and experiments.
Elevify advantages
Develop skills
- Develop Lagrangians and solve Euler-Lagrange equations for practical systems.
- Form Hamiltonians, apply canonical variables, and solve Hamilton’s equations.
- Examine small oscillations, determine normal modes, and explain mode shapes.
- Handle constraints using generalised coordinates and d’Alembert’s principle.
- Use approximations, damping, and parameter analysis 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.What our students say
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