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
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