Elements of Newtonian Mechanics

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Springer Science & Business Media, Dec 6, 2012 - Science - 413 pages
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This book is intended as a textbook for an entry-level university course in Newtonian mechanics for students of physics, astronomy, and the engineering sciences. The material has been used as a first-semester text for first-year undergraduates at the Niels Bohr Institute, which is part of the University of Copenhagen. Our way of presenting Newtonian mechanics is influenced by the writings of the late Max Born. Also, the Feynman Lectures on Physics have been an important source of inspiration. In fact, the idea for the book came when we read Section 16.1 of Volume 1 of the Feynman Lectures. Ideas from the well-known Berkeley Physics Course may also be traced in the text. All of the books quoted in the literature list have, in one way or another, served as a source for our lectures for undergraduates. It is assumed that the students already have a rudimentary knowledge of Newtonian mechanics, say at the high-school level. Some background in vectors and elementary calculus is also required, i.e., the students should know how to add vectors as well as how to differentiate and integrate elementary functions. The Appendix contains the required background for the use of vectors in Newtonian mechanics.
 

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Contents

The Foundation of Classical Mechanics
1
Newtons Five Laws
27
Gravitational and Inertial Mass
73
The Galilei Transformation
83
The Motion of the Earth 95
94
Motion in Accelerated Reference Frames
101
The Problem of Motion
153
Energy
167
The Angular Momentum Theorem 219
218
Rotation of a Rigid Body
237
The General Motion of a Rigid Body
301
The Motion of the Planets
333
Harmonic Oscillators
373
Appendix Vectors and Vector Calculus 395
394
Selected References
401
Index
410

The CenterofMass Theorem
193

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