Engineering Mechanics: Dynamics, 1st Edition [Rental Edition]
, by Tongue, Benson H.; Kawano, Daniel T.- ISBN: 9781119537533 | 1119537533
- Cover: Hardcover
- Copyright: 8/6/2019
Dr. Tongue is the author of Principles of Vibration, a senior/first-year graduate-level textbook. He has served as Associate Technical Editor of the ASME Journal of Vibration and Acoustics and is currently a member of the ASME Committee on Dynamics of Structures and Systems. He is the recipient of the NSF Presidential Young Investigator Award, the Sigma Xi Junior Faculty award, and the Pi Tau Sigma Excellence in Teaching award. He serves as a reviewer for numerous journals and funding agencies and is the author of more than sixty publications.
Daniel T. Kawano, is an Assistant Professor of Mechanical Engineering at Rose-Hulman Institute of Technology in Terre Haute, Indiana. He received his B.S. degree in Mechanical Engineering from California Polytechnic State University, San Luis Obispo in 2006. He obtained his M.S. (2008) and Ph.D. (2011) degrees in Mechanical Engineering, with a focus in dynamical systems, from the University of California, Berkeley. Daniel currently teaches primarily undergraduate courses in vibration, programming, dynamics, and system dynamics. His research and academic interests include modeling, analysis, simulation, and testing of dynamical systems; design of dynamic structures; linear vibratory theory and its applications; numerical solution of differential and differential-algebraic equations; and pedagogy in engineering education. Daniel serves as the faculty advisor for Rose-Hulman's Formula SAE competition team, Rose Grand Prix Engineering. In his spare time, Daniel enjoys reading, listening to music, shooting sports, and spending time outdoors.
Chapter 1 Background and Roadmap 1
1.1 Newton’s Laws 2
1.2 How You’ll Be Approaching Dynamics 3
1.3 Units 5
1.4 Symbols, Notation, and Conventions 7
1.5 Gravitation 13
1.6 A Comprehensive Dynamics Application 14
Chapter 2 Motion of Translating Bodies 17
2.1 Straight-Line Motion 18
Example 2.1 Velocity Determination Via Integration 25
Example 2.2 Deceleration Limit Determination 26
Example 2.3 Constant Acceleration/Speed/Distance Relationship 27
Example 2.4 Position-Dependent Acceleration 28
Example 2.5 Velocity-Dependent Acceleration (A) 30
Example 2.6 Velocity-Dependent Acceleration (B) 31
2.2 Cartesian Coordinates 32
Example 2.7 Coordinate Transformation (A) 38
Example 2.8 Coordinate Transformation (B) 39
Example 2.9 Rectilinear Trajectory Determination (A) 40
Example 2.10 Rectilinear Trajectory Determination (B) 43
2.3 Polar and Cylindrical Coordinates 44
Example 2.11 Velocity—Polar Coordinates 50
Example 2.12 Acceleration—Polar Coordinates (A) 52
Example 2.13 Acceleration—Polar Coordinates (B) 53
Example 2.14 Velocity and Acceleration—Cylindrical Coordinates 54
2.4 Path Coordinates 55
Example 2.15 Analytical Determination of Radius of Curvature 59
Example 2.16 Acceleration—Path Coordinates 60
Example 2.17 Speed Along a Curve 62
2.5 Relative Motion and Constraints 64
Example 2.18 One Body Moving on Another 71
Example 2.19 Two Bodies Moving Independently (A) 72
Example 2.20 Two Bodies Moving Independently (B) 73
Example 2.21 Simple Pulley 74
Example 2.22 Double Pulley 75
2.6 Just the Facts 77
Chapter 3 Inertial Response of Translating Bodies 81
3.1 Cartesian Coordinates 82
Example 3.1 Analysis of a Spaceship 84
Example 3.2 Forces Acting on an Airplane 85
Example 3.3 Sliding Ming Bowl 86
Example 3.4 Response of an Underwater Probe 88
Example 3.5 Particle in an Enclosure 90
3.2 Polar Coordinates 92
Example 3.6 Ming Bowl on a Moving Slope 92
Example 3.7 Ming Bowl in Motion 94
Example 3.8 Ming Bowl on a Moving Slope with Friction 95
Example 3.9 No-Slip in a Rotating Arm 98
Example 3.10 Forces Acting on a Payload 100
3.3 Path Coordinates 102
Example 3.11 Forces Acting on My Car 102
Example 3.12 Finding a Rocket’s Radius of Curvature 104
Example 3.13 Force and Acceleration for a Sliding Pebble 105
Example 3.14 Determining Slip Point in a Turn 107
3.4 Linear Momentum and Linear Impulse 108
Example 3.15 Changing the Space Shuttle’s Orbit 110
Example 3.16 Block on a Sanding Belt 112
Example 3.17 Two-Car Collision 113
3.5 Angular Momentum and Angular Impulse 114
Example 3.18 Change in Speed of a Model Plane 116
Example 3.19 Angular Momentum of a Bumper 117
Example 3.20 Angular Momentum of a Tetherball 119
3.6 Orbital Mechanics 121
Example 3.21 Analysis of an Elliptical Orbit 133
Example 3.22 Determining Closest Approach Distance 134
3.7 Impact 135
Example 3.23 Dynamics of Two Pool Balls 139
Example 3.24 More Pool Ball Dynamics 141
3.8 Oblique Impact 141
Example 3.25 Oblique Billiard Ball Collision 144
Example 3.26 Another Oblique Collision 146
3.9 Just The Facts 149
Chapter 4 Energetics of Translating Bodies 151
4.1 Kinetic Energy 152
Example 4.1 Speed of an Arrow 154
Example 4.2 Change in Speed Due to an Applied Force 155
Example 4.3 Change in Speed Due to Slipping 156
4.2 Potential Energy 157
Example 4.4 Speed Due to a Drop 161
Example 4.5 Designing a Nutcracker 163
Example 4.6 Change in Speed Using Potential Energy 164
Example 4.7 Falling Enclosure 166
Example 4.8 Reexamination of an Orbital Problem 167
4.3 Power 168
Example 4.9 Time Needed to Increase Speed 171
Example 4.10 0 to 60 Time at Constant Power 172
Example 4.11 Determining a Cyclist’s Energy Efficiency 173
4.4 Just the Facts 173
Chapter 5 Multibody Systems 177
5.1 Force Balance and Linear Momentum 178
Example 5.1 Finding a Mass Center 182
Example 5.2 Finding a System’s Linear Momentum 183
Example 5.3 Motion of a Two-Particle System 184
Example 5.4 Finding Speed of a Bicyclist/Cart 185
Example 5.5 Momentum of a Three-Mass System 186
5.2 Angular Momentum 187
Example 5.6 Angular Momentum of Three Particles 190
Example 5.7 Angular Momentum About a System’s Mass Center 191
5.3 Work and Energy 192
Example 5.8 Kinetic Energy of a Modified Baton 194
Example 5.9 Kinetic Energy of a Translating Modified 196
Example 5.10 Spring-Mass System 197
5.4 Stationary Enclosures with Mass Inflow and Outflow 198
Example 5.11 Water Jet Impinging on Stationary Vane 201
Example 5.12 Force Due to a Stream of Mass Particles 202
5.5 Nonconstant Mass Systems 203
Example 5.13 Motion of a Toy Rocket 207
Example 5.14 Helicopter Response to a Stream of Bullets 208
5.6 Just the Facts 209
Chapter 6 Kinematics of Rigid Bodies Undergoing Planar Motion 213
6.1 Relative Velocities on a Rigid Body 214
Example 6.1 Velocity of a Pendulum 220
Example 6.2 Velocity of a Constrained Link 221
Example 6.3 Angular Speed of a Spinning Disk 222
Example 6.4 Velocity of Link-Constrained Body 223
Example 6.5 Relative Angular Velocity 224
6.2 Instantaneous Center of Rotation (ICR) 226
Example 6.6 Angular Speed Determination Via ICR 227
Example 6.7 Velocity on a Constrained Body Via ICR 228
Example 6.8 Velocity of the Contact Point During Roll without Slip 229
Example 6.9 Pedaling Cadence and Bicycle Speed 230
Example 6.10 Rotation Rate of an Unwinding Reel Via ICR 232
6.3 Rotating Reference Frames and Rigid-Body Accelerations 234
Example 6.11 Acceleration of a Pedal Spindle 237
Example 6.12 Acceleration During Roll without Slip 238
Example 6.13 Tip Acceleration of a Two-Link Manipulator 239
Example 6.14 Acceleration of a Point on a Cog of a Moving Bicycle 241
Example 6.15 Path of Point on Rolling Disk 242
6.4 Relative Motion on a Rigid Body 244
Example 6.16 Absolute Velocity of a Specimen in a Centrifuge 247
Example 6.17 Velocity Constraints—Closing Scissors 248
Example 6.18 Velocity and Acceleration in a Tube 249
Example 6.19 Angular Acceleration of a Constrained Body 251
Example 6.20 Angular Acceleration 253
6.5 Just the Facts 254
Chapter 7 Kinetics of Rigid Bodies Undergoing Two-Dimensional Motions 257
7.1 Curvilinear Translation 258
Example 7.1 Determining the Acceleration of a Translating Body 259
Example 7.2 Tension in Support Chains 260
Example 7.3 General Motion of a Swinging Sign 263
Example 7.4 Normal Forces on a Steep Hill 266
7.2 Rotation About a Fixed Point 268
Example 7.5 Mass Moment of Inertia of a Rectangular Plate 272
Example 7.6 Mass Moment of Inertia of a Circular Sector 274
Example 7.7 Mass Moment of Inertia of a Complex Disk 277
Example 7.8 Analysis of a Rotating Body 278
Example 7.9 Forces Acting at Pivot of Fireworks Display 281
Example 7.10 Determining a Wheel’s Imbalance Eccentricity 284
7.3 General Motion 285
Example 7.11 Acceleration Response of an Unrestrained Body 288
Example 7.12 Response of a Falling Rod 292
Example 7.13 More Response of a Falling Rod 294
Example 7.14 Acceleration Response of a Driven Wheel 296
Example 7.15 Acceleration Response of a Driven Wheel—Take Two 298
Example 7.16 Falling Spool 301
Example 7.17 Tipping of a Ming Vase 302
Example 7.18 Equations of Motion for a Simple Car Model 305
Example 7.19 Analysis of a Simple Transmission 307
7.4 Linear/Angular Momentum of Two-Dimensional Rigid Bodies 309
Example 7.20 Angular Impulse Applied to Space Station 310
Example 7.21 Impact Between a Pivoted Rod and a Moving Particle 312
7.5 Work/Energy of Two-Dimensional Rigid Bodies 313
Example 7.22 Angular Speed of a Hinged Two- Dimensional Body 315
Example 7.23 Response of a Falling Rod Via Energy 316
Example 7.24 Design of a Spring-Controlled Drawbridge 318
7.6 Just The Facts 320
Chapter 8 Kinematics and Kinetics of Rigid Bodies in Three-dimensional Motion 323
8.1 Spherical Coordinates 324
8.2 Angular Velocity of Rigid Bodies in Three-Dimensional Motion 326
Example 8.1 Angular Velocity of a Simplified Gyroscope 330
Example 8.2 Angular Velocity of a Hinged Plate 331
8.3 Angular Acceleration of Rigid Bodies in Three-Dimensional Motion 332
Example 8.3 Angular Acceleration of a Simple Gyroscope 333
8.4 General Motion of and on Three-Dimensional Bodies 333
Example 8.4 Motion of a Disk Attached to a Bent Shaft 335
Example 8.5 Velocity and Acceleration of a Robotic Manipulator 338
8.5 Moments and Products of Inertia for a Three-Dimensional Body 340
8.6 Parallel Axis Expressions for Inertias 343
Example 8.6 Inertial Properties of a Flat Plate 345
8.7 Angular Momentum 346
Example 8.7 Angular Momentum of a Flat Plate 351
Example 8.8 Angular Momentum of a Simple Structure 351
8.8 Equations of Motion for a Three-Dimensional Body 353
Example 8.9 Reaction Forces of a Constrained, Rotating Body 355
8.9 Energy of Three-Dimensional Bodies 357
Example 8.10 Kinetic Energy of a Rotating Disk 359
8.10 Just The Facts 361
Chapter 9 Vibratory Motions 365
9.1 Undamped, Free Response for Single-Degree-of-Freedom Systems 366
Example 9.1 Natural Frequency of a Cantilevered Balcony 369
Example 9.2 Displacement Response of a Single-Story Building 372
9.2 Undamped, Sinusoidally Forced Response for Single-Degree-of-Freedom Systems 373
Example 9.3 Forced Response of a Spring-Mass System 376
Example 9.4 Time Response of an Undamped System 377
9.3 Damped, Free Response for Single-Degree-of-Freedom Systems 378
Example 9.5 Vibration Response of a Golf Club 381
9.4 Damped, Sinusoidally Forced Response for Single-Degree-of-Freedom Systems 382
Example 9.6 Response of a Simple Car Model on a Wavy Road 385
Example 9.7 Response of a Sinusoidally Forced, Spring-Mass Damper 387
9.5 Just The Facts 388
Appendix A Numerical Integration Light 391
Appendix B Properties of Plane and Solid Bodies 399
Appendix C Some Useful Mathematical Facts 403
Appendix D Material Densities 407
Biblography 409
Index 411
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.