E-raamat: Newtonian Dynamics: An Introduction

Preface
Acknowledgements

Measurement and Units
Mks Units
Standard Prefixes
Other Units.
Dimensional Analysis
Experimental Errors
Exercises

Motion in One Dimension
Introduction
Displacement
Velocity
Acceleration
Motion with Constant Velocity
Motion with Constant Acceleration
Useful Results
Free-Fall Under Gravity
Exercises

Motion in Three Dimensions
Introduction
Vector Mathematics
Scalars and Vectors
Vector Algebra
Cartesian Components of a Vector
Coordinate Transformations
Scalar Product
Vector Product
Vector Displacement, Velocity, and Acceleration
Motion with Constant Velocity
Motion with Constant Acceleration
Projectile Motion
Relative Velocity
Exercises

Newton's Laws of Motion
Introduction
Newton's First Law of Motion
Newton's Second Law of Motion
Measurement of Force
Newton's Third Law of Motion
Mass, Weight, and Reaction
Block Resting on Earth's Surface
Block in an Elevator
Suspended Masses
Block Suspended by a Single Cable
Block Suspended by Three Cables
Two 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 Forces
Friction
Inclined Planes
Smooth Planes
Rough Planes
Frames of Reference
Exercises

Conservation of Energy
Introduction
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 Momentum
Introduction
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 Motion
Centripetal 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 Motion
Introduction
Rigid 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 Disk
Standard Moments of Inertia
Torque
Power and Work
Translational Motion Versus Rotational Motion
Unwinding Pulley
Physics of Baseball Bats
Combined Translational and Rotational Motion
Cylinder Rolling Down a Rough Incline
Exercises

Angular Momentum
Introduction
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 Top
Exercises

Statics
Introduction
Principles of Statics
Equilibrium of a Laminar Object
Rods and Cables
Horizontal Rod Suspended from Two Cables
Pivoting Horizontal Rod Supported by a Cable
Ladders and Walls
Jointed Rods
Tipping or Sliding?
Exercises

Oscillatory Motion
Introduction
Simple Harmonic Motion
Torsion Pendulum
Simple Pendulum
Compound Pendulum
Exercises

Rotating Reference Frames
Introduction
Rotating Reference Frames
Centrifugal Acceleration
Coriolis Force
Foucault Pendulum
Exercises

Newtonian Gravity
Introduction
Universal Gravity
Surface Gravity
Gravitational Potential Energy
Escape Velocity
Circular Orbits
Lunar Orbital Period
Geostationary Satellites
Exercises

Orbital Motion
Introduction
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
Exercises

Gravitational Potential Theory
Introduction
Gravitational Potential
Axially-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 Moon
Tidal Elongation of Earth due to Sun
Ocean Tides
Luni-Solar Precession
Exercises

Useful Mathematics
Calculus
Series Expansions
Trigonometric Identities
Hyperbolic Identities
Complex Identities
Vector Identities

Bibliography
Index