About the Authors |
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viii | |
Preface |
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ix | |
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1 | (18) |
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1 | (1) |
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1.2 Addition of Two Vectors |
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1 | (2) |
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1.3 Subtraction of a Vector |
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3 | (1) |
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4 | (1) |
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1.5 Composition of Vectors |
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4 | (1) |
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1.6 Multiplication of Vectors by Scalars |
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4 | (1) |
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1.7 Orthogonal Triad of Unit Vectors |
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4 | (1) |
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5 | (1) |
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1.9 Dot or Scalar Product |
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6 | (2) |
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1.10 The Cross or Vector Product |
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8 | (1) |
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9 | (1) |
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1.12 Dimensions and Units |
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10 | (9) |
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The International System (SI) |
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10 | (1) |
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11 | (4) |
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15 | (4) |
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Chapter 2 Kinematics Of A Particle |
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19 | (38) |
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19 | (1) |
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19 | (3) |
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21 | (1) |
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22 | (1) |
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22 | (35) |
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2.3.1 Rectangular Components |
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23 | (1) |
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2.3.2 Tangential and Normal Components |
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24 | (2) |
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2.3.3 Radial and Transverse Components |
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26 | (2) |
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28 | (20) |
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48 | (9) |
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Chapter 3 Dynamics Of A Particle |
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57 | (32) |
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3.1 Newton's Laws of Motion |
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57 | (1) |
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58 | (2) |
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3.3 D'Alembert's Principle |
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60 | (1) |
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60 | (29) |
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61 | (22) |
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83 | (6) |
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Chapter 4 Kinematics Of A Rigid Body In Plane Motion |
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89 | (40) |
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4.1 Plane Motion of a Rigid Body |
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89 | (2) |
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91 | (1) |
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91 | (1) |
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4.4 Instantaneous Axis of Rotation |
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92 | (1) |
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4.5 The Coriolis Acceleration |
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93 | (36) |
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96 | (19) |
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115 | (14) |
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Chapter 5 Dynamics Of A Rigid Body In Plane Motion |
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129 | (66) |
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5.1 Vector Equations of Plane Motion |
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129 | (1) |
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5.2 Scalar Equations of Plane Motion |
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129 | (1) |
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5.3 Summary of the Equations |
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130 | (1) |
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5.4 Translation of a Rigid Body |
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131 | (1) |
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5.5 Rotation of a Rigid Body |
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132 | (1) |
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133 | (1) |
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5.7 Inertia Force Method for Rigid Bodies |
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134 | (61) |
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135 | (43) |
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178 | (17) |
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Chapter 6 Work And Energy |
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195 | (34) |
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6.1 Work and Potential Energy |
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195 | (3) |
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198 | (1) |
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6.3 Efficiency and Kinetic Energy |
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198 | (1) |
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6.4 Work-Energy Relations for a Particle |
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199 | (1) |
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6.5 Kinetic Energy of a Rigid Body |
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199 | (2) |
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6.6 Work-Energy Relations for a Rigid Body |
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201 | (28) |
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202 | (15) |
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217 | (12) |
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Chapter 7 Impulse And Momentum |
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229 | (44) |
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7.1 Impulse-Momentum Relation for a Particle |
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229 | (1) |
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7.2 Impulse-Momentum Relation for an Assemblage of Particles |
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229 | (2) |
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231 | (1) |
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7.4 Relative Angular Momentum |
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231 | (3) |
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234 | (1) |
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235 | (38) |
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235 | (27) |
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262 | (11) |
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Chapter 8 Mechanical Vibrations |
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273 | (34) |
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273 | (1) |
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8.2 Simple Harmonic Motion |
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274 | (4) |
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8.2.1 Free Vibrations---Linear |
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275 | (2) |
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8.2.2 Free Vibrations---Angular |
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277 | (1) |
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8.3 Free Vibrations with Viscous Damping |
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278 | (3) |
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8.4 Forced Vibrations without Damping |
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281 | (2) |
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8.5 Forced Vibrations with Viscous Damping |
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283 | (2) |
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8.6 Multicomponent Systems |
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285 | (22) |
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286 | (14) |
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300 | (7) |
Practice Final Exam |
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307 | (6) |
Appendix A SI Units |
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313 | (4) |
Appendix B Second Moments of Areas and Mass Moments of Inertia |
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317 | (2) |
Index |
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319 | |