Problem 3: Start with the Lagrangian to setup the Hamiltonian for "Simple Pendulum" and determine 0 for the pendulum bob by writing down the Hamilton's equations of motion. There is no need to solve this equation. Also write down the Hamilton-Jacobi equation of motion for this system by using the generating function S(q, P, t). There is no need to solve the resulting partial differential equation.

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Problem 3: Start with the Lagrangian to setup the Hamiltonian for "Simple Pendulum" and determine for
the pendulum bob by writing down the Hamilton's equations of motion. There is no need to solve
this equation. Also write down the Hamilton-Jacobi equation of motion for this system by using the
generating function S(q, P, t). There is no need to solve the resulting partial differential equation.
Transcribed Image Text:Problem 3: Start with the Lagrangian to setup the Hamiltonian for "Simple Pendulum" and determine for the pendulum bob by writing down the Hamilton's equations of motion. There is no need to solve this equation. Also write down the Hamilton-Jacobi equation of motion for this system by using the generating function S(q, P, t). There is no need to solve the resulting partial differential equation.
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