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3 cards from this section. Quick, good the night before a test.
What is the Lagrangian of a system? Provide its basic formula.
Remember the basic energy definitions.
What does the Euler-Lagrange equation help us find?
Think about what governs motion.
What is the formula for the Lagrangian?
Recall the definitions of T and V.
True or False: The Lagrangian formulation only applies to mechanical systems without external forces.
Think about forces acting on robotic systems.
For a robotic arm with three joints, derive the full Lagrangian in terms of the angles and link lengths. Compute the equations of motion.
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.
Consider how to express height in terms of the angle θ of the pendulum.
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