![]() D'Alembert's principle.Ĭhapter 8 APPLICATIONS TO VIBRATING SYSTEMS, ROCKETS AND COLLISIONS 194 Relation between angular momentum and total external torque. Total external torque acting on a system. Angular momentum of a system of particles. The Foucault pendulum.ĭiscrete and continuous systems. Motion of a particle relative to the earth. Conic sections, ellipse, parabola and hyperbola. Determination of the central force from the orbit. Determination of the orbit from the central force. Potential energy of a particle in a central field. ![]() Important equations deduced from the equations of motion. Equations of motion for a particle in a central field. Some important properties of central force fields. The two and three dimensional harmonic oscillator.Ĭhapter 5 CENTRAL FORCES AND PLANETARY MOTION 116Ĭentral forces. Over-damped, critically damped and under-damped motion. Amplitude, period and frequency of simple harmonic motion. Static's in a uniform gravitational field.Ĭhapter 4 THE SIMPLE HARMONIC OSCILLATOR AND THE SIMPLE PENDULUM 86 Potential and potential energy in a uniform force field. Stability of equilibrium.Ĭhapter 6 MOTION IN A UNIFORM FIELD. Free, sliding and bound vectors.Ĭhapter 2 NEWTON'S LAWS OF MOTION. Mechanics, kinematics, dynamics and static's Axiomatic foundations of mechanics. Added features are the chapters on Lagrange's equations and Hamiltonian theory which provide other equivalent formulations of Newtonian mechanics and which are of great practical and theoretical value.Ĭhapter 1 VECTORS, VELOCITY AND ACCELERATION An account of vectors is provided in the first chapter and may either be studied at the beginning or referred to as the need arises. Vector methods, which lend themselves so readily to concise notation and to geometric and physical interpretations, are introduced early and used throughout the book. Topics covered include the dynamics and static's of a particle, systems of particles and rigid bodies. The large number of supplementary problems with answers serve as a complete review of the material of each chapter. Numerous proofs of theorems and derivations of basic results are included in the solved problems. The solved problems serve to illustrate and amplify the theory, bring into sharp focus those fine points without which the student continually feels himself on unsafe ground, and provide the repetition of basic principles so vital to effective learning. This is followed by graded sets of solved and supplementary problems. It should also prove useful to students taking courses in physics, engineering, mathematics, astronomy, celestial mechanics, aerodynamics and in general any field which needs in its formulation the basic principles of mechanics.Įach chapter begins with a clear statement of pertinent definitions, principles and theorems together with illustrative and other descriptive material. ![]() The book is designed for use either as a supplement to all current standard textbooks or as a textbook for a formal course in mechanics. It is the purpose of this book to present an account of Newtonian mechanics and its applications. ![]() For this reason it has maintained its fundamental importance in science and engineering. For objects which move with speeds much less than that of light and which have dimensions large compared with those of atoms and molecules Newtonian mechanics, also called classical mechanics, is nevertheless quite satisfactory. These discrepancies led to Einstein's relativistic mechanics which revolutionized the concepts of space and time, and to quantum mechanics. These remarkably simple laws served to describe and predict the motions of observable objects in the universe, including those of the planets of our solar system.Įarly in the 20th century it was discovered that various theoretical conclusions derived from Newton's laws were not in accord with certain conclusions deduced from theories of electromagnetism and atomic phenomena which were equally well founded experimentally. In the 17th century, Sir Isaac Newton formulated his now famous laws of mechanics. Open: Theoretical Mechanics, Kinematics, Dynamics and Static's Premium Membership Required to view Document/Book Includes 720 Solved Problems with an introduction to Lagrange's Equations and Hamiltonian Theory Theoretical Mechanics, Kinematics, Dynamics and Static's Related Resources: Analysis Engineering and Science Theoretical Mechanics, Kinematics, Dynamics and Static's
0 Comments
Leave a Reply. |