11.3 - Lagrangian Formulation
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Practice Questions
Test your understanding with targeted questions
What is the Lagrangian of a system? Provide its basic formula.
💡 Hint: Remember the basic energy definitions.
What does the Euler-Lagrange equation help us find?
💡 Hint: Think about what governs motion.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for the Lagrangian?
💡 Hint: Recall the definitions of T and V.
True or False: The Lagrangian formulation only applies to mechanical systems without external forces.
💡 Hint: Think about forces acting on robotic systems.
1 more question available
Challenge Problems
Push your limits with advanced challenges
For a robotic arm with three joints, derive the full Lagrangian in terms of the angles and link lengths. Compute the equations of motion.
💡 Hint: Break down the energies step-by-step for each joint and remember that each part contributes to L.
Analyze a simple pendulum using the Lagrangian method. Identify T and V, and derive its equation of motion.
💡 Hint: Consider how to express height in terms of the angle θ of the pendulum.
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