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# Find the Lagrangian, the generalized momentum, and the

**Chapter 13, Problem 13.1**

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**QUESTION:**

Find the Lagrangian, the generalized momentum, and the Hamiltonian for a free particle (no forces at all) confined to move along the x axis. (Use x as your generalized coordinate.) Find and solve Hamilton's equations.

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### Questions & Answers

**QUESTION:**

Find the Lagrangian, the generalized momentum, and the Hamiltonian for a free particle (no forces at all) confined to move along the x axis. (Use x as your generalized coordinate.) Find and solve Hamilton's equations.

**ANSWER:**

Step 1 of 4

The kinetic energy of the particle can be given as,