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CITATION

McMahon, David. Statics and Dynamics Demystified. US: McGraw-Hill Education, 2007.

Statics and Dynamics Demystified

Authors: David McMahon

Published:  2007

ISBN: 9780071631426 0071478833
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  • Contents
  • Preface
  • CHAPTER 1 A Review of Vector Calculus
  • Introduction
  • Basic Operations on Vectors
  • The Dot Product
  • The Vector Cross Product
  • Vector Triple Products
  • The Cylindrical and Spherical Coordinate Systems
  • The Position Vector
  • The Gradient
  • The ∇ Operator and Divergence
  • The Curl
  • The Laplacian
  • Vector Identities
  • Line Integrals
  • Conservative Vector Fields
  • Surface Integrals
  • Quiz
  • CHAPTER 2 Particles and Forces
  • Characterizing Motion
  • Newton’s First Law
  • Newton's Second Law
  • Newton's Third Law
  • Couple
  • Deriving Newton's First Law
  • Line of Action
  • Forces and Moments
  • Quiz
  • CHAPTER 3 Resultants, Equilibrium, and Statics
  • Resultants
  • Static Equilibrium
  • Quiz
  • CHAPTER 4 Gravity
  • The Gravitational Force
  • Gravitational Acceleration
  • The Law of Periods
  • The Gravitational Potential
  • Quiz
  • CHAPTER 5 Moments of Inertia
  • Moment
  • Arbitrary Fulcrum and Center of Mass
  • Continuous Systems
  • Second Moments, Moment of Inertia of an Area
  • Moment of Inertia for Mass
  • Radius of Gyration
  • Parallel Axis Theorem
  • Quiz
  • CHAPTER 6 Cables
  • Cables
  • Endpoint Tension in Cables
  • Length of a Suspension Cable
  • Catenary Cables
  • Quiz
  • CHAPTER 7 Friction
  • Belt Friction
  • Rolling Resistance
  • Quiz
  • CHAPTER 8 Particle Kinematics
  • Rectilinear Particle Motion
  • Constant Acceleration
  • Particle Motion in Higher Dimensions
  • Projectile Motion
  • Uniform Circular Motion
  • Quiz
  • CHAPTER 9 Dynamics and Newton's Second Law
  • Linear Momentum
  • Newton's Laws of Motion
  • The First Law of Motion
  • The Second Law of Motion
  • The Third Law of Motion
  • Dynamics and Kinetic Friction
  • Force and Potential Energy
  • The Harmonic Oscillator
  • Damping
  • Quiz
  • CHAPTER 10 Circular Motion
  • Uniform Circular Motion Revisited
  • Kinetic Energy of Rotation
  • Angular Momentum and Torque
  • Quiz
  • CHAPTER 11 Energy and Work
  • Potential and Kinetic Energy
  • Forces and Work
  • The Work–Energy Theorem
  • Energy and Momentum
  • Power
  • Efficiency
  • Basic Conservation Laws
  • Quiz
  • CHAPTER 12 Waves and Vibrations
  • Basic Wave Motion
  • Sinusoidal Waves
  • Dispersion
  • Superposition and Interference
  • Energy and Power in Waves
  • Vibrations
  • Quiz
  • CHAPTER 13 Advanced Mechanics
  • The Lagrangian
  • Systems in Multiple Dimensions
  • The Hamiltonian
  • Quiz
  • Final Exam
  • Quiz Solutions and Final Exam Answers
  • Quiz Solutions
  • Final Exam Answers
  • Bibliography
  • Index