Problems and Solutions on Mechanics

This volume is a compilation of carefully selected questions at the PhD qualifying exam level, including many actual questions from Columbia University, University of Chicago, MIT, State University of New York at Buffalo, Princeton University, University of Wisconsin and the University of California at Berkeley over a twenty-year period. Topics covered in this book include dynamics of systems of point masses, rigid bodies and deformable bodies, Lagrange's and Hamilton's equations, and special relativity.This latest edition has been updated with more problems and solutions and the original problems have also been modernized, excluding outdated questions and emphasizing those that rely on calculations. The problems range from fundamental to advanced in a wide range of topics on mechanics, easily enhancing the student's knowledge through workable exercises. Simple-to-solve problems play a useful role as a first check of the student's level of knowledge whereas difficult problems will challenge the student's capacity on finding the solutions.Contents: Newtonian Mechanics:Dynamics of a Point Mass (1001–1108)Dynamics of a System of Point Masses (1109–1144)Dynamics of Rigid Bodies (1145–1223)Dynamics of Deformable Bodies (1224–1272)Analytical Mechanics:Lagrange's Equations (2001–2027)Small Oscillations (2028–2067)Hamilton's Canonical Equations (2068–2084)Special Relativity:Special Relativity (3001–3054)
Readership: Lecturers, postgraduates and advanced undergraduates in physics. Problems;Solutions;Systems of Point of Masses;Rigid Bodies;Deformable Bodies;Lagrange's Equation;Hamilton's Equations;Special Relativity00