Principles of Engineering Mechanics Kinematics The Geometry of Motion

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Principles of Engineering Mechanics Kinematics The Geometry of Motion

PDF Free Download | Principles of Engineering Mechanics Kinematics The Geometry of Motion Volume 1 by Objective Mechanical Engineering

Contents of Principles of Engineering Mechanics

  • Kinematics of a Particle
  • Primitive Terms
  • Motion and Particle Path
  • Velocity and Acceleration
  • Some Basic Classifications of Problems
  • Uniform Motion
  • Velocity and Acceleration Referred to an Intrinsic Frame
  • Construction of the Intrinsic Velocity and Acceleration
  • L Curvature, the Radius of Curvature, and the Intrinsic Frame
  • Velocity and Acceleration Referred to the Intrinsic Frame
  • Some Applications of the Intrinsic Velocity and Acceleration
  • Summary of Particle Kinematics
  • Special Topics
  • Some Additional Properties of the Intrinsic Basis
  • The Hodograph
  • Singularity Functions in Particle Kinematics
  • Kinematics of Rigid Body Motion
  • Introduction
  • Displacements of a Rigid Body
  • Rotation about a Fixed Line
  • The Imbedded Reference Frame
  • The General Displacement of a Rigid Body
  • Infinitesimal Displacement of a Rigid Body
  • Composition of Infinitesimal Rotations
  • Velocity and Acceleration of Points of a Rigid Body
  • Velocity of a Particle of a Rigid Body
  • Acceleration of a Particle of a Rigid Body
  • Some Applications of the Basic Equations
  • Rolling without Slip
  • Analysis of a Spatial Mechanism
  • Velocity Referred to a Moving Reference Frame
  • A Basic Invariant Property of the Angular Velocity Vector
  • Chasles’ Theorem on Screw Motions
  • Finite Rigid Body Displacements
  • Index Notation
  • The Delta and Permutation Symbols and the Summation Rule
  • Some Additional Applications of Index Notation
  • Introduction to Tensors
  • Components of a Tensor
  • The Tensor Product
  • The Tensor Representation Theorem
  • Other Tensor Operations and Rules
  • The Rotator
  • The Rotation Tensor
  • Change of Basis and Transformation Laws
  • A Change of Basis
  • Transformation Laws for Vectors and Tensors
  • Rotation about a Fixed Point
  • Euler’s Theorem
  • Fundamental Invariant Property of the Rotator
  • The Parallel Axis Theorem
  • The Center of Rotation
  • Chasles’ Screw Displacement Theorem
  • Composition of Finite Rotations
  • Euler Angles and Rotations
  • Review of the Composition of Infinitesimal Rotations
  • Composition of Rotations about Nonintersecting Axes
  • Composition of Screw Displacements
  • Motion Referred to a Moving Reference Frame and Relative Motion
  • An Introductory Example
  • Derivative of a Vector Referred to a Moving Reference Frame
  • Kinematic Chain Rule for Angular Velocity Vectors
  • The Simple Relative Angular Velocity Rule
  • The Composition Rule for Several Angular Velocity Vectors
  • The Composition Rule for Several Angular Accelerations
  • The Simple Relative Angular Acceleration Rule
  • The Composition of Multiple Angular Acceleration Vectors
  • Velocity and Acceleration Referred to a Moving Frame
  • The Velocity Equation
  • The Acceleration Equation
  • Simple Relative Motion
  • Velocity and Acceleration in Special Curvilinear Coordinates
  • The Cylindrical Reference Frame
  • The Spherical Reference Frame
  • More Examples of Motion Referred to a Moving Frame
  • Motion Referred to an Earth Frame
  • Motion of the Earth
  • Velocity and Acceleration Relative to the Earth
  • Summary of the Principal Equations
  • Some Special Advanced Topics
  • Application of the Vector Component Transformation Law
  • Derivative of a Tensor Function of a Scalar Variable
  • Derivative of a Tensor Referred to a Moving Frame

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