Analytical Mechanics Course
Dive into analytical mechanics via the cart-pendulum example. Develop Lagrangian and Hamiltonian models, explore small oscillations and normal modes, and utilise practical tools for high-precision physics experiments and cutting-edge research applications. Gain proficiency in advanced dynamical systems analysis essential for engineering and scientific innovation.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
This course provides a structured approach to mastering generalised coordinates, constraints, and energy techniques for intricate cart-pendulum setups. Participants will construct Lagrangian and Hamiltonian frameworks, solve coupled differential equations, examine small oscillations and normal modes, and incorporate damping, external forces, and modelling methods for precise dynamic simulations and experimental designs.
Elevify Advantages
Develop Skills
- Formulate Lagrangians and extract Euler-Lagrange equations for practical systems.
- Develop Hamiltonians with canonical variables and implement Hamilton's equations.
- Examine small oscillations, determine normal modes, and analyse mode configurations.
- Handle constraints using generalised coordinates and d’Alembert’s principle.
- Employ approximations, damping effects, and parameter analysis for accurate 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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