Analytical Mechanics
Code
7818
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
6.0
Teacher in charge
Luís Manuel Trabucho de Campos
Weekly hours
5
Total hours
70
Teaching language
Português
Objectives
This is the first contact for a Mathematics student with the Mathematical techiniques for mechanics, in an applied setting.
Subject matter
Part I - Dynamics of Particles
Kinematics of Particles
Kinetics of Particles
Kinetics of Systems of Particles
Part II - Dynamics of Rigid Bodies
Kinematics of Rigid Bodies
Kinetics of Rigid Bodies
Part III - Mechanical Vibrations
Part IV - Calculus of Variations
Euler-Lagrange Equations
Hamilton''s Principle
Bibliography
C. Fox — An Introduction to the Calculus of Variations, Dover, 1987
H. Goldstein, C.P. Poole and J.L. Safko, — Classical Mechanics, 3rd ed., Addison Wesley, 2001
L.N. Hand and J.D. Finch — Analytical Mechanics, Cambridge University Press, 1998
J.V. José and E.G. Saletan — Classical Dynamics, Cambridge University Press, 1998
J.B. Marion and S.T. Thornton — Classical Dynamics of Particles and Systems, 4th ed.,Saunders College Publishing, 1995
M.C. Povoas, Métodos Matemáticos da Física -- Uma
Introdução, Colecção Textos de Matemática, 17, Departamento
de Matemática, FCUL, 2002
H. Sagan — Introduction to the Calculus of variations, McGraw-Hill, 1969