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More About This Textbook
Overview
The authors demonstrate to students how to map their understanding to more realistic situations, enabling them to more effectively break down complex problems into manageable parts.
Product Details
Related Subjects
Meet the Author
Dr. Tongue is the author of Principles of Vibration, a senior/firstyear graduatelevel textbook. He has served as Associate Technical Editor of the ASME Journal of Vibration and Acoustics as 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 eighty publications.
In his spare time Benson races his bikes up and down mountains, draws and paints, birdwatches, and creates latte art.
Sheri D. Sheppard Ph.D., is the Carnegie Foundation for the Advancement of Teaching Senior Scholar principally responsible for the Preparations for the Professions Program (PPP) engineering study. She is an Associate Professor of Mechanical Engineering at Stanford University. She received her Ph.D. from the University of Michigan in 1985. Besides teaching both undergraduate and graduate designrelated classes at Stanford University, she conducts research on weld fatigue and impact failures, fracture mechanics, and applied finite element analysis.
Dr. Sheppard was recently named coprincipal investigator on a NSF grant to form the Deter for the Advancement of Engineering Education (CAEE), along with faculty at the University of Washington, Colorado School of Mines, and Howard University. She was coPrincipal investigator with Professor Larry Leifer on a multiuniversity NSF grant that was critically looking at engineering undergraduate curriculum (Synthesis). In 1999, Sheri was named a fellow of the American Society of Mechanical Engineering (ASME) and the American Association for the Advancement of Science (AAAS). Recently Sheri was awarded the 2004 ASEE Chester F. Carlson Award in recognition of distinguished accomplishments in engineering education. Before coming to Stanford University she held several positions in the automotive industry, including senior research engineer at Ford Motor company's Scientific Research Lab. She also worked as a design consultant, providing companies with structural analysis expertise. In her spare time Sheri likes to build houses, hike, and travel.
Table of Contents
1.1 Newton’s Laws.
1.2 How You’ll Be Approaching Dynamics.
1.3 Units and Symbols.
1.4 Gravitation.
1.5 The Pieces of the Puzzle.
CHAPTER 2. KINEMATICS OF PARTICLES.
2.1 StraightLine Motion.
EXAMPLE 2.1 Speed Determination via Integration.
EXAMPLE 2.2 Deceleration Limit Determination.
EXAMPLE 2.3 Constant Acceleration/Speed/Distance Relation.
EXAMPLE 2.4 PositionDependent Acceleration.
EXAMPLE 2.5 VelocityDependent Acceleration (A).
EXAMPLE 2.6 VelocityDependent Acceleration (B).
2.2 Cartesian Coordinates.
EXAMPLE 2.7 Coordinate Transformation (A).
EXAMPLE 2.8 Coordinate Transformation (B).
EXAMPLE 2.9 RectilinearTrajectory Determination (A).
EXAMPLE 2.10 RectilinearTrajectory Determination (B).
EXERCISES 2.2.
2.3 Polar and Cylindrical Coordinates.
EXAMPLE 2.11 Velocity—Polar Coordinates.
EXAMPLE 2.12 Acceleration—Polar Coordinates (A).
EXAMPLE 2.13 Acceleration—Polar Coordinates (B).
EXAMPLE 2.14 Velocity and Acceleration—Cylindrical Coordinates.
EXERCISES 2.3.
2.4 Path Coordinates.
EXAMPLE 2.15 Acceleration—Path Coordinates.
EXAMPLE 2.16 Analytical Determination of Radius of Curvature.
EXAMPLE 2.17 Speed Along a Curve.
EXERCISES 2.4.
2.5 Relative Motion and Constraints.
EXAMPLE 2.18 One Body Moving on Another.
EXAMPLE 2.19 Two Bodies Moving Independently (A).
EXAMPLE 2.20 Two Bodies Moving Independently (B).
EXAMPLE 2.21 Simple Pulley.
EXAMPLE 2.22 Double Pulley.
EXERCISES 2.5.
2.6 Just the Facts.
SYSTEM ANALYSIS (SA) EXERCISES.
SA2.1 Kinematics of Variable Geometry Pulleys.
SA2.2 MultiAxis Seat Ejection (MASE) Sled.
SA2.3 Carousel Ride.
SA2.4 Amusement ParkStyle Golf Game.
CHAPTER 3. KINETICS OF PARTICLES.
3.1 Cartesian Coordinates.
EXAMPLE 3.1 Analysis of a Spaceship.
EXAMPLE 3.2 Forces Acting on an Airplane.
EXAMPLE 3.3 Response of an Underwater Probe.
EXAMPLE 3.4 Sliding Ming Bowl.
EXAMPLE 3.5 Particle in an Enclosure.
EXERCISES 3.1.
3.2 Polar Coordinates.
EXAMPLE 3.6 Forces Acting on a Payload.
EXAMPLE 3.7 Ming Bowl on a Moving Slope.
EXAMPLE 3.8 Ming Bowl on a Moving Slope with Friction.
EXAMPLE 3.9 NoSlip in a Rotating Arm.
EXERCISES 3.2.
3.3 Path Coordinates.
EXAMPLE 3.10 Forces Acting on My Car.
EXAMPLE 3.11 Finding a Rocket’s Radius of Curvature.
EXAMPLE 3.12 Determining Slip Point in aTurn.
EXAMPLE 3.13 Force and Acceleration for a Sliding Pebble.
EXERCISES 3.3.
3.4 Linear Momentum and Linear Impulse.
EXAMPLE 3.14 Changing the Space Shuttle’s Orbit.
EXAMPLE 3.15 TwoCar Collision.
3.5 Angular Momentum and Angular Impulse.
EXAMPLE 3.16 Change in Speed of a Model Plane.
EXAMPLE 3.17 Angular Momentum of a Bumper.
EXAMPLE 3.18 Angular Momentum of aTetherball.
EXERCISES 3.5.
3.6 Orbital Mechanics.
EXAMPLE 3.19 Analysis of an Elliptical Orbit.
EXAMPLE 3.20 Determining Closest Approach Distance.
EXERCISES 3.6.
3.7 Impact.
EXAMPLE 3.21 Dynamics ofTwo Pool Balls.
EXAMPLE 3.22 More Pool Ball Dynamics.
3.8 Oblique Impact.
EXAMPLE 3.23 Oblique Billiard Ball Collision.
EXAMPLE 3.24 Another Oblique Collision.
EXERCISES 3.8.
3.9 Just the Facts.
SYSTEM ANALYSIS (SA) EXERCISES.
SA3.1 Escape from Colditz.
SA3.2 Kinetics of Variable Geometry Pulleys.
SA3.3 The Somatogravic Illusion.
SA3.4 The PushPull Maneuver.
CHAPTER 4. THE ENERGY OF PARTICLES.
4.1 Kinetic Energy.
EXAMPLE 4.1 Work to Lift a Mass.
EXAMPLE 4.2 Change in Speed Due to an Applied Force.
EXAMPLE 4.3 Change in Speed Due to Slipping.
EXERCISES 4.1.
4.2 Potential Energies and Conservative Forces.
EXAMPLE 4.4 Speed Due to a Drop.
EXAMPLE 4.5 Designing a Nutcracker.
EXAMPLE 4.6 Speed of a Particle on a Circular Hill.
EXAMPLE 4.7 Reexamination of an Orbital Problem.
EXERCISES 4.2.
4.3 Power and Ef.ciency.
EXAMPLE 4.8 Time Needed to Increase Speed.
EXAMPLE 4.9 0 to 60Time at Constant Power.
EXAMPLE 4.10 Determining a Cyclist’s Energy Efficiency.
EXERCISES 4.3.
4.4 Just the Facts.
SYSTEM ANALYSIS (SA) EXERCISES.
SA4.1 Bungie Jump Energetics.
SA4.2 Escape from Colditz—TakeTwo.
CHAPTER 5. MULTIPARTICLE SYSTEMS.
5.1 Force Balance and Linear Momentum.
EXAMPLE 5.1 Finding a Mass Center.
EXAMPLE 5.2 Finding a System’s Linear Momentum.
EXAMPLE 5.3 Motion of aTwoParticle System.
EXAMPLE 5.4 Finding Speed of a Bicyclist/Cart.
EXAMPLE 5.5 Momentum of aThreeMass System.
EXERCISES 5.1.
5.2 Angular Momentum.
EXAMPLE 5.6 Angular Momentum of Three Particles.
EXAMPLE 5.7 Angular Momentum About a System’s Mass Center.
EXERCISES 5.2.
5.3 Work and Energy.
EXAMPLE 5.8 Kinetic Energy of a Modi.ed Baton.
EXAMPLE 5.9 Kinetic Energy of aTranslating Modified Baton.
EXAMPLE 5.10 SpringMass System.
EXERCISES 5.3.
5.4 Stationary Enclosures with Mass In.ow and Out.ow.
EXAMPLE 5.11 Force Due to a Stream of Water.
EXAMPLE 5.12 Force Due to a Stream of Mass Particles
5.5 Nonconstant Mass Systems.
EXAMPLE 5.13 Motion of a Toy Rocket.
EXAMPLE 5.14 Helicopter Response to a Stream of Bullets.
EXERCISES 5.5.
5.6 Just the Facts.
SYSTEM ANALYSIS (SA) EXERCISES.
SA5.1 MultiStation Disorientation Demonstrator.
SA5.2 Sand Loader.
CHAPTER 6. KINEMATICS OF RIGID BODIES UNDERGOING PLANAR MOTION.
6.1 Relative Velocities on a Rigid Body.
EXAMPLE 6.1 Velocity of a Pendulum.
EXAMPLE 6.2 Velocity of a Constrained Link.
EXAMPLE 6.3 Angular Speed of a Spinning Disk.
EXAMPLE 6.4 Relative Angular Velocity.
EXERCISES 6.1.
6.2 Instantaneous Center of Rotation (ICR).
EXAMPLE 6.5 Angular Speed Determination via ICR.
EXAMPLE 6.6 Velocity of the Contact Point During Roll Without Slip.
EXAMPLE 6.7 Pedaling Cadence and Bicycle Speed.
EXAMPLE 6.8 Rotation Rate of an Unwinding Reel via ICR.
EXERCISES 6.2.
6.3 Rotating Reference Frames and RigidBody Accelerations.
EXAMPLE 6.9 Acceleration of a Pedal Spindle for a Bicycle on Rollers.
EXAMPLE 6.10 Tip Acceleration of aTwoLink Manipulator.
EXAMPLE 6.11 Acceleration During Roll Without Slip.
EXAMPLE 6.12 Acceleration of a Point on a Cog of a Moving Bicycle.
EXERCISES 6.3.
6.4 Relative Motion on a Rigid Body.
EXAMPLE 6.13 Absolute Velocity of a Specimen in a Centrifuge.
EXAMPLE 6.14 Velocity Constraints—Closing Scissors.
EXAMPLE 6.15 Velocity and Acceleration in a TransportationTube.
EXAMPLE 6.16 Angular Acceleration of a Constrained Body.
EXERCISES 6.4.
6.5 Just the Facts.
SYSTEM ANALYSIS (SA) EXERCISES.
SA6.1 Evaluating Head Rotation Effects.
SA6.2 Design of a Shooting Gallery Game.
SA6.3 Design of a “SnaptheWhip” Ride.
SA6.4 Kinematics of Catapults.
CHAPTER 7. KINETICS OF RIGID BODIES
UNDERGOINGTWODIMENSIONAL MOTION.
7.1 Curvilinear Translation.
EXAMPLE 7.1 Determining the Acceleration of a Translating Body.
EXAMPLE 7.2 Tension in Support Chains.
EXAMPLE 7.3 General Motion of a Swinging Sign.
EXAMPLE 7.4 Normal Forces on a Steep Hill.
EXERCISES 7.1.
7.2 Rotation About a Fixed Point.
EXAMPLE 7.5 Mass Moment of Inertia of a Rectangular Plate.
EXAMPLE 7.6 Mass Moment of Inertia of a Circular Sector.
EXAMPLE 7.7 Analysis of a Rotating Body.
EXAMPLE 7.8 Determining aWheel’s Imbalance Eccentricity.
EXAMPLE 7.9 Forces Acting at Pivot of Fireworks Display.
EXERCISES 7.2.
7.3 General Motion.
EXAMPLE 7.10 Acceleration Response of an Unrestrained Body.
EXAMPLE 7.11 Response of a Falling Rod.
EXAMPLE 7.12 Acceleration Response of a Driven Wheel.
EXAMPLE 7.13 Acceleration Response of a Driven Wheel—TakeTwo.
EXAMPLE 7.14 Tipping of a Ming Vase.
EXAMPLE 7.15 Equations of Motion for a Simple Car Model.
EXAMPLE 7.16 Analysis of a Simple Transmission.
EXERCISES 7.3.
7.4 Linear/Angular Momentum of TwoDimensional Rigid Bodies.
EXAMPLE 7.17 Angular Impulse Applied to Space Station.
EXAMPLE 7.18 Impact Between a Pivoted Rod and a Moving Particle.
EXERCISES 7.4.
7.5 Work/Energy of TwoDimensional Rigid Bodies.
EXAMPLE 7.19 Angular Speed of a Hinged TwoDimensional Body.
EXAMPLE 7.20 Response of a Falling Rod via Energy.
EXAMPLE 7.21 Design of a SpringControlled Drawbridge.
EXERCISES 7.5.
7.6 Just the Facts.
SYSTEM ANALYSIS (SA) EXERCISES.
SA7.1 Evaluation of Head Rotation Effects—TakeTwo.
SA7.2 Inertias of Catapults.
SA7.3 Catapult Launches.
SA7.4 More on Catapult Launches.
CHAPTER 8. KINEMATICSAND KINETICS OF
RIGID BODIES INTHREEDIMENSIONAL MOTION.
8.1 Spherical Coordinates.
8.2 Angular Velocity of Rigid Bodies in ThreeDimensional Motion.
EXAMPLE 8.1 Angular Velocity of a Simplified Gyroscope.
EXAMPLE 8.2 Angular Velocity of a Hinged Plate.
8.3 Angular Acceleration of Rigid Bodies in ThreeDimensional Motion.
EXAMPLE 8.3 Angular Acceleration of a Simple Gyroscope.
8.4 General Motion of and on ThreeDimensional Bodies.
EXAMPLE 8.4 Motion of a Disk Attached to a Bent Shaft.
EXAMPLE 8.5 Velocity and Acceleration of a Robotic Manipulator.
EXERCISES 8.4.
8.5 Moments and Products of Inertia for a ThreeDimensional Body.
8.6 Parallel Axis Expressions for Inertias.
EXAMPLE 8.6 Inertial Properties of a Flat Plate.
EXERCISES 8.6.
8.7 Angular Momentum.
EXAMPLE 8.7 Angular Momentum of a Flat Plate.
EXAMPLE 8.8 Angular Momentum of a Simple Structure.
EXERCISES 8.7.
8.8 Equations of Motion for a ThreeDimensional Body.
EXAMPLE 8.9 Reaction Forces of a Constrained, Rotating Body.
EXERCISES 8.8.
8.9 Energy of ThreeDimensional Bodies.
EXAMPLE 8.10 Kinetic Energy of a Rotating Disk.
EXERCISES 8.9.
8.10 Just the Facts.
SYSTEM ANALYSIS (SA) EXERCISES.
SA8.1 Evaluating Head Rotation Effects.
CHAPTER 9. VIBRATORY MOTIONS.
9.1 Undamped, Free Response for SingleDegreeofFreedom Systems.
EXAMPLE 9.1 Displacement Response of a SingleStory Building.
EXAMPLE 9.2 Natural Frequency of a Cantilevered Balcony.
EXERCISES 9.1.
9.2 Undamped, Sinusoidally Forced Response for SingleDegreeofFreedom Systems.
EXAMPLE 9.3 Forced Response of a SpringMass System.
EXAMPLE 9.4 Time Response of an Undamped System.
EXERCISES 9.2.
9.3 Damped, Free Response for
SingleDegreeofFreedom Systems.
EXAMPLE 9.5 Vibration Response of a Golf Club.
EXERCISES 9.3.
9.4 Damped, Sinusoidally Forced Response for
SingleDegreeofFreedom Systems.
EXAMPLE 9.6 Response of a Sinusoidally Forced,
SpringMass Damper.
EXAMPLE 9.7 Response of a Simple Car Model
on a Wavy Road.
EXERCISES 9.4.
9.5 Just the Facts.
SYSTEM ANALYSIS (SA) EXERCISES.
SA9.1 Clothes Washer Vibrations.
APPENDIX A: NUMERICAL INTEGRATION LIGHT.
APPENDIX B: PROPERTIES OF PLANEAND SOLID BODIES.
APPENDIX C: SOME USEFUL MATHEMATICAL FACTS.
APPENDIX D: MATERIAL DENSITIES.
BIBLIOGRAPHY.
INDEX.