Purchase Solution

Lagrangian and Hamiltonian dynamics of a particle

Not what you're looking for?

Ask Custom Question

A particle of mass m moves in one dimension under the influence of a force:

F(x, t) = (k/x^2)*e^(-t/T)

Where k and T are positive constants.

a) Compute the Lagrangian and Hamiltonian Functions

b) Compare the Hamiltonian and the total energy.

c) Discuss the conservation of energy for the system.

Purchase this Solution

Solution Summary

The solution is a detailed explanation on Lagrangian and Hamiltonian dynamics of a particle which moves in one dimension under the influence of a force. The Lagrangian and Hamiltonian functions of the particle are calculated. Furthermore, the conservation of energy of the system is discussed.

Solution Preview

Please see the attached file for detailed solution.

A particle of mass m moves in one demension under the influence of a force:

F(x, t) = (k/x^2)*e^(-t/T)

Where k and T are positive constants.

a) Compute ...

Purchase this Solution


Free BrainMass Quizzes
Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

The Moon

Test your knowledge of moon phases and movement.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Basic Physics

This quiz will test your knowledge about basic Physics.