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Consider the Atwood machine of Figure 13.2, but suppose
Chapter 13, Problem 13.3(choose chapter or problem)
Consider the Atwood machine of figure 13.2, but suppose that the pulley is a uniform disc of mass and radius . Using as your generalized coordinate, write down the lagrangian, the generalised momentum and the Hamitonian . Find Hamilton’s equations and use them to find the acceleration .
Questions & Answers
QUESTION:
Consider the Atwood machine of figure 13.2, but suppose that the pulley is a uniform disc of mass and radius . Using as your generalized coordinate, write down the lagrangian, the generalised momentum and the Hamitonian . Find Hamilton’s equations and use them to find the acceleration .
ANSWER:
Step 1 of 5
Langrangian and Hamiltonian are two different methods which are used for the evaluation and understanding of classical physics.
Mathematically the Hamiltonian equation for particle or object is expressed as;
Here is the derivative of the position of the particle, , is the Lagrangian and is the Hamiltonian.