Newton - Newtonian Dynamics Richard Fitzpatrick Professor...

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Unformatted text preview: Newtonian Dynamics Richard Fitzpatrick Professor of Physics The University of Texas at Austin Contents 1 Introduction 7 1.1 Intended Audience . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.2 Scope of Book . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.3 Major Sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2 Newton’s Laws of Motion 9 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2 Newtonian Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3 Newton’s Laws of Motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.4 Newton’s First Law of Motion . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.5 Newton’s Second Law of Motion . . . . . . . . . . . . . . . . . . . . . . . . 13 2.6 Newton’s Third Law of Motion . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.7 Non-Isolated Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.8 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3 One-Dimensional Motion 21 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3.2 Motion in a General One-Dimensional Potential . . . . . . . . . . . . . . . 21 3.3 Velocity Dependent Forces . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3.4 Simple Harmonic Motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.5 Damped Oscillatory Motion . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 3.6 Quality Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 3.7 Resonance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 3.8 Periodic Driving Forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 3.9 Transients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 3.10 Simple Pendulum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 3.11 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 4 Multi-Dimensional Motion 45 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 2 NEWTONIAN DYNAMICS 4.2 Motion in a Two-Dimensional Harmonic Potential . . . . . . . . . . . . . . 45 4.3 Projectile Motion with Air Resistance . . . . . . . . . . . . . . . . . . . . . 47 4.4 Charged Particle Motion in Electric and Magnetic Fields . . . . . . . . . . . 51 4.5 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 5 Planetary Motion 55 5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 5.2 Kepler’s Laws . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 5.3 Newtonian Gravity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 5.4 Conservation Laws . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 5.5 Polar Coordinates . Polar Coordinates ....
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This note was uploaded on 03/17/2012 for the course PHYS 202 taught by Professor Atkin during the Spring '12 term at Amity University.

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Newton - Newtonian Dynamics Richard Fitzpatrick Professor...

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