Lecture Notes On Mechanics Intermediate Level

Lecture Notes On Mechanics: Intermediate Level

This book is for students who are familiar with an introductory course in mechanics at the freshman level. With an emphasis on perspectives that are more fundamental and techniques more advanced than those given in most introductory mechanics textbooks, the book illuminates on notions where vectors are coordinate free, presents the importance of reference frames (inertial and non-inertial) to mechanics problems, the role of Galilean Relativity on invariance and covariance of physical quantities, a framework to perform calculations — free from the constraint of a fixed axis — in rotational dynamics, and others. Moreover, it provides clear links between concepts in mechanics and other branches of physics, such as thermodynamics and electrodynamics, so that students can possess a more complete view of what they learn within the confines of physics.

Lecture Notes on Mechanics

Intermediate Classical Mechanics

This book describes the basic concepts and principles of classical mechanics in the intermediate level. Given the perspective that different mechanical problems require an appropriate approach drawn from various methods or principles, a textbook discussing multiple methods or principles in mechanics is highly desirable. Additionally, a good textbook should include historical context on the motivation and the development of the methods or principles, allowing students to gain insights that may help them discover new theories. However, after many years of teaching Dynamics in the graduate school, the authors were unable to find a suitable intermediate-level textbook on classical mechanics, which motivated them to begin writing this book. For the aforementioned reasons, this book includes the descriptions of various methods or principles in mechanics, such as the Newton-Euler Principle, the d’Alembert Principle, Lagrangian methods, Gauss’s Principle of Least Constraint, the Gibbs-Appell equation, Jourdain’s equation, the Principle of Virtual Power, the Appell-Kane method, the Hamilton Principle, and the Hamiltonian mechanics, among others. Moreover, many historical remarks on the motivation and the development of the methods or principles are given in this book, as well as numerous applications. The authors also believe that in studying the motion of a material body, different models may be used depending on the application. If the position of the body is of interest, a particle model may be chosen. If the orientation or attitude of the body is under consideration, a rigid body model should be adopted. If deformation is a concern, a model of deformable body should be applied. Consequently, a book in mechanics for engineers should encompass a variety of models of the body, ranging from particles to continua such as solids or fluids. This book also meets that need.