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E-raamat: Newtonian Dynamics: An Introduction [Taylor & Francis e-raamat]

(The University of Texas, Austin, USA)
  • Formaat: 270 pages, 6 Tables, black and white; 133 Line drawings, black and white; 133 Illustrations, black and white
  • Ilmumisaeg: 21-Dec-2021
  • Kirjastus: CRC Press
  • ISBN-13: 9781003198642
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  • Taylor & Francis e-raamat
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Newtonian Dynamics: An IntroductionSuurem pilt
  • Formaat: 270 pages, 6 Tables, black and white; 133 Line drawings, black and white; 133 Illustrations, black and white
  • Ilmumisaeg: 21-Dec-2021
  • Kirjastus: CRC Press
  • ISBN-13: 9781003198642
Teised raamatud teemal:
Taylor & Francis e-raamatudRohkem infot Taylor & Francis e-raamatute kohta
Raamatu kodulehekülg: https://www.taylorfrancis.com/books/9781003198642
This textbook provides a comprehensive review of Newtonian dynamics at a level suitable for undergraduate physics students. It demonstrates that Newtons three laws of motion, combined with a few simple force laws, not only can describe the motions of everyday objects observed on the surface of the Earth, but can also account for the motions of celestial objects seen in the sky. It helps bridge the problematic transition between elementary physics courses and upper-division physics courses. The book starts off at a level suitable for undergraduate (freshman) physics students and very gradually increases, until, toward the end, it approaches (but does not quite reach) a level characteristic of a graduate (senior) physics course.

Each chapter of the book ends with a large number of numerical and analytical exercises and, in all appropriate cases, the final answers to the exercises are specified. The large number of exercises will allow students to accurately test their understanding of the material presented in the book, ideal for students who are self-studying or are taking classes remotely.

Key Features:











Provides a brief and accessible introduction to a complex topic





Contains a more thorough treatment of the motions of heavenly bodies than conventional elementary mechanics texts





Provides a wealth of end-of-chapter exercises to test understanding

Richard Fitzpatrick is a Professor of physics at the University of Texas at Austin, USA, where he has been a faculty member since 1994. He is a member of the Royal Astronomical Society, a fellow of the American Physical Society, and the author of several textbooks.
Preface xi
Acknowledgements xiii
Chapter 1 Measurement and Units
1(8)
1.1 MKS Units
1(1)
1.2 Standard Prefixes
2(1)
1.3 Other Units
2(1)
1.4 Dimensional Analysis
3(2)
1.5 Experimental Errors
5(3)
1.6 Exercises
8(1)
Chapter 2 Motion in One Dimension
9(12)
2.1 Introduction
9(1)
2.2 Displacement
9(1)
2.3 Velocity
10(1)
2.4 Acceleration
11(1)
2.5 Motion With Constant Velocity
12(2)
2.6 Motion With Constant Acceleration
14(2)
2.7 Useful Results
16(1)
2.8 Free-Fall Under Gravity
17(1)
2.9 Exercises
18(3)
Chapter 3 Motion in Three Dimensions
21(18)
3.1 Introduction
21(1)
3.2 Vector Mathematics
21(8)
3.2.1 Scalars and Vectors
21(1)
3.2.2 Vector Algebra
22(1)
3.2.3 Cartesian Components of a Vector
23(1)
3.2.4 Coordinate Transformations
24(2)
3.2.5 Scalar Product
26(1)
3.2.6 Vector Product
27(2)
3.3 Vector Displacement, Velocity, And Acceleration
29(1)
3.4 Motion With Constant Velocity
30(1)
3.5 Motion With Constant Acceleration
31(1)
3.6 Projectile Motion
31(2)
3.7 Relative Velocity
33(2)
3.8 Exercises
35(4)
Chapter 4 Newton's Laws of Motion
39(30)
4.1 Introduction
39(1)
4.2 Newton's First Law Of Motion
39(1)
4.3 Newton's Second Law Of Motion
40(1)
4.4 Measurement Of Force
40(2)
4.5 Newton's Third Law Of Motion
42(1)
4.6 Mass, Weight, And Reaction
42(3)
4.6.1 Block Resting on Earth's Surface
43(1)
4.6.2 Block in an Elevator
44(1)
4.7 Suspended Masses
45(9)
4.7.1 Block Suspended by a Single Cable
45(1)
4.7.2 Block Suspended by Three Cables
46(1)
4.7.3 Two Blocks Suspended by Five Cables
47(1)
4.7.4 Many Blocks Suspended by Many Cables
48(1)
4.7.5 Catenary
49(3)
4.7.6 Suspension Bridge
52(2)
4.8 Cable-Pulley Systems
54(3)
4.8.1 Simple Pulley
54(1)
4.8.2 Compound Pulley
55(1)
4.8.3 Table Pulley
56(1)
4.8.4 Atwood Machine
57(1)
4.9 Velocity-Dependent Forces
57(3)
4.10 Friction
60(1)
4.11 Inclined Planes
61(2)
4.11.1 Smooth Planes
61(1)
4.11.2 Rough Planes
62(1)
4.12 Frames Of Reference
63(2)
4.13 Exercises
65(4)
Chapter 5 Conservation of Energy
69(18)
5.1 Introduction
69(1)
5.2 Energy Conservation During Free-Fall
69(2)
5.3 Work
71(5)
5.4 Conservative And Non-Conservative Force-Fields
76(2)
5.5 Potential Energy
78(2)
5.6 Hooke's Law
80(1)
5.7 Motion In A General One-Dimensional Potential
81(2)
5.8 Power
83(1)
5.9 Exercises
84(3)
Chapter 6 Conservation of Momentum
87(28)
6.1 Introduction
87(1)
6.2 Two-Component Systems
87(4)
6.2.1 Hot-Air Balloon
89(1)
6.2.2 Cannon and Cannonball
90(1)
6.3 Multi-Component Systems
91(2)
6.3.1 Explosion of Krypton
93(1)
6.4 Rocket Science
93(2)
6.5 Impulses
95(2)
6.6 Bouncing Ball
97(2)
6.7 One-Dimensional Collisions
99(5)
6.7.1 Elastic Collisions
102(1)
6.7.2 Totally Inelastic Collisions
103(1)
6.7.3 Inelastic Collisions
103(1)
6.8 Two-Dimensional Collisions
104(7)
6.9 Exercises
111(4)
Chapter 7 Circular Motion
115(18)
7.1 Introduction
115(1)
7.2 Uniform Circular Motion
115(2)
7.3 Centripetal Acceleration
117(1)
7.4 Rotating Weight On The End Of A Cable
118(1)
7.5 Banked Curve
119(1)
7.6 Conical Pendulum
120(1)
7.7 Non-Uniform Circular Motion
121(4)
7.8 Vertical Pendulum
125(2)
7.9 Motion On Curved Surfaces
127(2)
7.9.1 Fairground Ride
128(1)
7.9.2 Skier on a Hemispherical Mountain
129(1)
7.10 Exercises
129(4)
Chapter 8 Rotational Motion
133(28)
8.1 Introduction
133(1)
8.2 Rigid Body Rotation
133(2)
8.3 Is Rotation A Vector?
135(2)
8.4 Center Of Mass
137(2)
8.4.1 Centroid of Regular Pyramid
138(1)
8.5 Moment Of Inertia
139(5)
8.5.1 Perpendicular Axis Theorem
141(1)
8.5.2 Parallel Axis Theorem
142(1)
8.5.3 Moment of Inertia of a Circular Disk
143(1)
8.5.4 Standard Moments of Inertia
143(1)
8.6 Torque
144(3)
8.7 Power And Work
147(1)
8.8 Translational Motion Versus Rotational Motion
148(1)
8.9 Unwinding Pulley
149(1)
8.10 Physics Of Baseball Bats
150(3)
8.11 Combined Translational And Rotational Motion
153(4)
8.11.1 Cylinder Rolling Down a Rough Incline
154(3)
8.12 Exercises
157(4)
Chapter 9 Angular Momentum
161(12)
9.1 Introduction
161(1)
9.2 Angular Momentum Of A Point Particle
161(1)
9.3 Angular Momentum Of An Extended Object
162(2)
9.4 Angular Momentum Of A Multi-Component System
164(3)
9.5 Conservation Of Angular Momentum
167(2)
9.5.1 Two Movable Weights on a Rotating Rod
167(1)
9.5.2 Figure Skater
168(1)
9.5.3 Bullet Striking a Pivoted Rod
168(1)
9.6 Spinning Top
169(2)
9.7 Exercises
171(2)
Chapter 10 Statics
173(16)
10.1 Introduction
173(1)
10.2 Principles Of Statics
173(2)
10.3 Equilibrium Of A Laminar Object
175(2)
10.4 Rods And Cables
177(3)
10.4.1 Horizontal Rod Suspended from Two Cables
177(1)
10.4.2 Pivoting Horizontal Rod Supported by a Cable
178(2)
10.5 Ladders And Walls
180(1)
10.6 Jointed Rods
181(1)
10.7 Tipping Or Sliding?
182(2)
10.8 Exercises
184(5)
Chapter 11 Oscillatory Motion
189(10)
11.1 Introduction
189(1)
11.2 Simple Harmonic Motion
189(3)
11.3 Torsion Pendulum
192(1)
11.4 Simple Pendulum
193(2)
11.5 Compound Pendulum
195(1)
11.6 Exercises
196(3)
Chapter 12 Rotating Reference Frames
199(10)
12.1 Introduction
199(1)
12.2 Rotating Reference Frames
199(1)
12.3 Centrifugal Acceleration
200(3)
12.4 Coriolis Force
203(1)
12.5 Foucault Pendulum
204(3)
12.6 Exercises
207(2)
Chapter 13 Newtonian Gravity
209(8)
13.1 Introduction
209(1)
13.2 Universal Gravity
209(1)
13.2.1 Surface Gravity
210(1)
13.3 Gravitational Potential Energy
210(2)
13.3.1 Escape Velocity
211(1)
13.4 Circular Orbits
212(2)
13.4.1 Lunar Orbital Period
212(1)
13.4.2 Geostationary Satellites
213(1)
13.5 Exercises
214(3)
Chapter 14 Orbital Motion
217(18)
14.1 Introduction
217(1)
14.2 Kepler's Laws
217(1)
14.3 Planetary Equations Of Motion
217(2)
14.4 Conic Sections
219(3)
14.5 Kepler's Second Law
222(1)
14.6 Kepler's First Law
223(1)
14.7 Kepler's Third Law
224(1)
14.8 Orbital Parameters
225(1)
14.9 Orbital Energies
225(1)
14.10 Transfer Orbits
226(1)
14.11 Low-Eccentricity Orbits
227(1)
14.12 Two-Body Dynamics
228(3)
14.12.1 Binary Star Systems
229(2)
14.13 Exercises
231(4)
Chapter 15 Gravitational Potential Theory
235(22)
15.1 Introduction
235(1)
15.2 Gravitational Potential
235(1)
15.3 Axially-Symmetric Mass Distributions
236(2)
15.4 Gravitational Potential Due To A Uniform Sphere
238(1)
15.5 Gravitational Potential Outside A Uniform Spheroid
239(2)
15.6 Rotational Flattening
241(2)
15.6.1 Rotational Flattening of Earth
243(1)
15.7 Tidal Elongation
243(5)
15.7.1 Tidal Elongation of Earth Due to Moon
247(1)
15.7.2 Tidal Elongation of Earth Due to Sun
247(1)
15.7.3 Ocean Tides
248(1)
15.8 Luni-Solar Precession
248(6)
15.9 Exercises
254(3)
Appendix A Useful Mathematics
257(6)
A.1 Calculus
257(1)
A.2 Series Expansions
258(1)
A.3 Trigonometric Identities
259(1)
A.4 Hyperbolic Identities
260(1)
A.5 Complex Identities
261(1)
A.6 Vector Identities
261(2)
Bibliography 263(2)
Index 265
Richard Fitzpatrick is a Professor of physics at the University of Texas at Austin, USA, where he has been a faculty member since 1994. He is a member of the Royal Astronomical Society, a fellow of the American Physical Society, and the author of several textbooks.
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