By
D.W. Childs
Table of Contents
Introduction and Fundamentals
A Short History of Dynamics
Units
Planar Kinematics of Particles
Motion in a Straight Line
Particle Motion in a Plane: Cartesian Coordinates
Coordinate Transformations: Relationships between
Components of a Vector in Two Coordinate Systems
Particle Motion in a Plane: Polar Coordinates
Particle Motion in a Plane: Normal-Tangential
(Path) Coordinates
Moving between Cartesian, Polar, and
Path-Coordinate Definitions for Velocity and Acceleration Components
Time-Derivative Relationships in Two Coordinate
Systems
Velocity and Acceleration Relationships in Two
Cartesian Coordinate Systems
Relative Position, Velocity, and Acceleration
Vectors between Two Points in the Same Coordinate System
Nomenclature
Differential Equations of Motion for a Particle
Moving in a Straight Line: An Introduction to Physical Modeling
More Motion in a Straight Line: Degrees of Freedom
and Equations of Kinematic Constraints
Motion in a Plane: Equations of Motion and Forces
of Constraint
Particle
Kinetics Examples with More Than One Degree of Freedom
Work–Energy Applications for One-Degree-of-Freedom
Problems in Plane Motion
Linear-Momentum Applications in Plane Motion
Moment of Momentum
Planar Kinematics of Rigid Bodies
Rotation about a Fixed Axis
Velocity and Acceleration Relationships for Two
Points in a Rigid Body
Rolling without Slipping
Planar Mechanisms
Planar Kinetics of Rigid Bodies
Nomenclature
Inertia Properties and the Parallel-Axis Formula
Governing Force and Moment Equations for a Rigid
Body
Kinetic Energy for Planar Motion of a Rigid Body
Fixed-Axis-Rotation Applications of the Force,
Moment, and Energy Equations
Compound-Pendulum Applications
General Applications of
Force, Moment, and Energy Equations for Planar Motion of a Rigid Body
Moment of Momentum for Planar Motion
Appendices
Index
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