11.3.1 - Lagrangian Mechanics Basics
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define the Lagrangian.
💡 Hint: Think about how energy contributes to motion.
What do the symbols T and V stand for?
💡 Hint: Remember energy types.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the Lagrangian defined as?
💡 Hint: Remember it summarizes energy differences.
True or False: The Euler-Lagrange equation connects generalized velocities to forces.
💡 Hint: Think about its purpose in dynamics.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Consider a simple pendulum with a mass m. If you can express its kinetic and potential energy, derive the Lagrangian and set up the Euler-Lagrange equations.
💡 Hint: Use known forms of energy for simple pendulum dynamics.
Analyze a two-link robotic arm. Establish the expressions for its kinetic and potential energy based on joint angles and lengths, and derive the corresponding Euler-Lagrange equation for each joint.
💡 Hint: Focus on how each link's configuration influences energy.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.