**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