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| Dynamics of Particles | |
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| Introduction to Dynamics | |
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| History and Modern Applications | |
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| History of Dynamics | |
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| Applications of Dynamics | |
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| Basic Concepts | |
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| Newton's Laws | |
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| Units | |
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| Gravitation | |
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| Effect of Altitude | |
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| Effect of a Rotating Earth | |
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| Standard Value of g | |
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| Apparent Weight | |
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| Dimensions | |
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| Solving Problems in Dynamics | |
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| Approximation in Mathematical Models | |
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| Method of Attack | |
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| Application of Basic Principles | |
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| Numerical versus Symbolic Solutions | |
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| Solution Methods | |
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| Chapter Review | |
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| Kinematics of Particles | |
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| Introduction | |
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| Particle Motion | |
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| Choice of Coordinates | |
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| Rectilinear Motion | |
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| Velocity and Acceleration | |
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| Graphical Interpretations | |
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| Analytical Integration | |
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| Plane Curvilinear Motion | |
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| Velocity | |
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| Acceleration | |
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| Visualization of Motion | |
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| Rectangular Coordinates (x-y) | |
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| Vector Representation | |
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| Projectile Motion | |
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| Normal and Tangential Coordinates (n-t) | |
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| Velocity and Acceleration | |
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| Geometric Interpretation | |
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| Circular Motion | |
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| Polar Coordinates (r-) | |
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| Time Derivatives of the Unit Vectors | |
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| Velocity | |
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| Acceleration | |
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| Geometric Interpretation | |
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| Circular Motion | |
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| Space Curvilinear Motion | |
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| Rectangular Coordinates (x-y-z) | |
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| Cylindrical Coordinates (r--z) | |
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| Spherical Coordinates (R--) | |
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| Relative Motion (Translating Axes) | |
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| Choice of Coordinate System | |
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| Vector Representation | |
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| Additional Considerations | |
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| Constrained Motion of Connected Particles | |
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| One Degree of Freedom | |
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| Two Degrees of Freedom | |
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| Chapter Review | |
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| Kinetics of Particles | |
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| Introduction | |
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| Force, Mass, and Acceleration | |
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| Newton's Second Law | |
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| Inertial System | |
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| Systems of Units | |
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| Force and Mass Units | |
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| Equation of Motion and Solution of Problems | |
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| Two Types of Dynamics Problems | |
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| Constrained and Unconstrained Motion | |
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| Free-Body Diagram | |
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| Rectilinear Motion | |
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| Curvilinear Motion | |
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| Work and Energy | |
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| Work and Kinetic Energy | |
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| Definition of Work | |
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| Units of Work | |
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| Calculation of Work | |
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| Examples of Work | |
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| Work and Curvilinear Motion | |
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| Principle of Work and Kinetic Energy | |
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| Advantages of the Work-Energy Method | |
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| Power | |
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| Efficiency | |
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| Potential Energy | |
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| Gravitational Potential Energy | |
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| Elastic Potential Energy | |
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| Work-Energy Equation | |
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| Conservative Force Fields | |
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| Impulse and Momentum | |
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| Introduction | |
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| Linear Impulse and Linear Momentum | |
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| The Linear Impulse-Momentum Principle | |
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| Conservation of Linear Momentum | |
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| Angular Impulse and Angular Momentum | |
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| Rate of Change of Angular Momentum | |
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| The Angular Impulse-Momentum Principle | |
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| Plane-Motion Applications | |
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| Conservation of Angular Momentum | |
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| Special Applications | |
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| Introduction | |
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| Impact | |
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| Direct Central Impact | |
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| Coefficient of Restitution | |
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| Energy Loss During Impact | |
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| Oblique Central Impact | |
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| Central-Force Motion | |
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| Motion of a Single Body | |
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| Conic Sections | |
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| Energy Analysis | |
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| Summary of Assumptions | |
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| Perturbed Two-Body Problem | |
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| Restricted Two-Body Problem | |
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| Relative Motion | |
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| Relative-Motion Equation | |