Newtonian Dynamics

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 Acknowledgements Measurement and UnitsMks Units Standard Prefixes Other Units.Dimensional Analysis Experimental Errors Exercises Motion in One DimensionIntroduction Displacement Velocity Acceleration Motion with Constant Velocity Motion with Constant Acceleration Useful Results Free-Fall Under Gravity Exercises Motion in Three DimensionsIntroduction Vector Mathematics Scalars and Vectors Vector AlgebraCartesian Components of a Vector Coordinate Transformations Scalar Product Vector Product Vector Displacement, Velocity, and AccelerationMotion with Constant Velocity Motion with Constant AccelerationProjectile Motion Relative Velocity ExercisesNewton's Laws of MotionIntroduction Newton's First Law of Motion Newton's Second Law of Motion Measurement of Force Newton's Third Law of Motion Mass, Weight, and ReactionBlock Resting on Earth's Surface Block in an Elevator Suspended Masses Block Suspended by a Single Cable Block Suspended by Three CablesTwo Blocks Suspended by Five Cables Many Blocks Suspended by Many Cables Catenary Suspension Bridge Cable-Pulley Systems Simple Pulley Compound Pulley Table Pulley Atwood Machine Velocity-Dependent ForcesFriction Inclined Planes Smooth Planes Rough Planes Frames of Reference Exercises Conservation of EnergyIntroduction Energy Conservation During Free-Fall Work Conservative and Non-Conservative Force-Fields Potential Energy Hooke's Law Motion in a General One-Dimensional Potential Power Exercises Conservation of MomentumIntroduction Two-Component Systems Hot-Air Balloon Cannon and Cannonball Multi-Component Systems Explosion of Krypton Rocket Science Impulses Bouncing Ball One-Dimensional Collisions Elastic Collisions Totally Inelastic Collisions Inelastic Collisions Two-Dimensional Collisions Exercises Circular Motion Introduction Uniform Circular MotionCentripetal Acceleration Rotating Weight on the End of a Cable Banked Curve Conical Pendulum Non-Uniform Circular Motion Vertical Pendulum Motion on Curved Surfaces Fairground Ride Skier on a Hemispherical Mountain Exercises Rotational MotionIntroductionRigid Body Rotation Is Rotation a Vector? Center of Mass Centroid of Regular Pyramid Moment of Inertia Perpendicular Axis Theorem Parallel Axis Theorem Moment of Inertia of a Circular DiskStandard Moments of Inertia Torque Power and Work Translational Motion Versus Rotational Motion Unwinding Pulley Physics of Baseball BatsCombined Translational and Rotational Motion Cylinder Rolling Down a Rough InclineExercisesAngular MomentumIntroduction Angular Momentum of a Point Particle Angular Momentum of an Extended Object Angular Momentum of a Multi-Component System Conservation of Angular Momentum Two Movable Weights on a Rotating Rod Figure Skater Bullet Striking a Pivoted Rod Spinning TopExercises StaticsIntroduction Principles of Statics Equilibrium of a Laminar Object Rods and Cables Horizontal Rod Suspended from Two Cables Pivoting Horizontal Rod Supported by a CableLadders and Walls Jointed Rods Tipping or Sliding?ExercisesOscillatory Motion Introduction Simple Harmonic Motion Torsion Pendulum Simple Pendulum Compound Pendulum Exercises Rotating Reference FramesIntroduction Rotating Reference Frames Centrifugal Acceleration Coriolis ForceFoucault Pendulum Exercises Newtonian Gravity Introduction Universal Gravity Surface Gravity Gravitational Potential Energy Escape Velocity Circular Orbits Lunar Orbital Period Geostationary Satellites Exercises Orbital MotionIntroduction Kepler's Laws Planetary Equations of Motion Conic Sections Kepler's Second Law Kepler's First Law Kepler's Third Law Orbital Parameters Orbital Energies Transfer Orbits Low-Eccentricity Orbits Two-Body Dynamics Binary Star Systems ExercisesGravitational Potential TheoryIntroductionGravitational PotentialAxially-Symmetric Mass Distributions Gravitational Potential due to a Uniform Sphere Gravitational Potential Outside a Uniform Spheroid Rotational Flattening Rotational Flattening of Earth Tidal Elongation Tidal Elongation of Earth due to MoonTidal Elongation of Earth due to SunOcean Tides Luni-Solar Precession ExercisesUseful Mathematics Calculus Series Expansions Trigonometric Identities Hyperbolic Identities Complex Identities Vector Identities BibliographyIndex