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2 cards from this section. Quick, good the night before a test.
Define the Lagrangian.
Think about how energy contributes to motion.
What do the symbols T and V stand for?
Remember energy types.
What is the Lagrangian defined as?
Remember it summarizes energy differences.
True or False: The Euler-Lagrange equation connects generalized velocities to forces.
Think about its purpose in dynamics.
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.
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.
Focus on how each link's configuration influences energy.
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