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| Kinematics of a Particle Introduction | |
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| Rectilinear Motion of a Particle: Single Degree of Freedom | |
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| Classification of the Kinematics or Dynamics Problem | |
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| Inverse Dynamics Problem | |
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| The Direct Dynamics Problem: Rectilinear Motion When the Acceleration is Given | |
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| Classification of Differential Equations | |
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| Separable First Order Scalar Differential Equations | |
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| Special Rectilinear Motions | |
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| Solution of a Liner First Order Differential Equation by Use of An Integrating Factor | |
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| Second Order Linear Differential Equations | |
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| Numerical Solution of Differential Equations | |
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| Curvilinear Motion of a Particle | |
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| Vector Differential Equation | |
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| Projectile Motion | |
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| Normal and Tangential Coordinates | |
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| Circular Motion | |
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| Normal and Tangential Coordinates in Three Dimensions | |
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| Radial and Transverse Coordinates (Polar Coordinates) | |
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| Three-Dimensional Coordinate Systems | |
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| Cylindrical Coordinates | |
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| Spherical Coordinates | |
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| Relative Rectilinear Motion of Several particles | |
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| General Relative Motion between Particles | |
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| Navigation using Relative Velocity | |
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| Dependent Motions Between Two or More Particles | |
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| Kinematic Parametric Equations | |
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| Trajectories Expressed as Function of Parameters | |
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| Parametric Equations for Three-Dimensional Trajectories | |
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| Kinetics of Particles Introduction | |
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| Equations of Motion for a Particle/ Solution Strategy for Particle Dynamics | |
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| Review of the Concepts of Static and Kinetic Friction | |
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| Determination of the Direction of the Normal and Friction Forces | |
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| Discontinuity and Singularity Functions | |
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| Normal and Tangential Coordinates | |
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| Two-Dimensional Parametric Equations of Dynamics | |
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| Polar Coordinates | |
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| Angular Momentum of a Particle | |
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| Central Force Motion | |
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| Three-Dimensional Particle Dynamics in Curvilinear Coordinates | |
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| Cylindrical Coordinates | |
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| Spherical Coordinates | |
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| Parametric Equations in Tangential, Normal and Binormal Coordinates | |
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| Work - Energy and Impulse - Momentum First Integrals of Motion Introduction | |
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| Power, Work and Energy | |
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| Work of a Spring Force | |
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| Work of the Gravitational Attraction Force Between Two Masses | |
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| Power and Efficiency | |
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| Conservative Forces and Potential Energy | |
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| Conservative Energy | |
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| Principle of Impulse and momentum | |
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| Impulse and Momentum of Several Particles | |
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| Impact | |
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| Direct Central Impact | |
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| Oblique Central Impact | |
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| Impact with a Stationary Object | |
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| System of Particles Introduction | |
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| General Equations for a System of Particles | |
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| Center of mass of a System of Particles | |
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| Kinetic Energy of a System of Particles | |
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| Work-Energy and Conservation of Energy of a System of Particles | |
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| Mass Flows | |
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| Steady Mass Flow | |
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| Variable Mass Flow | |
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| Kinematics of Rigid Bodies Introduction | |
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| Translation of a Rigid Body | |
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| Rotation About a Fixed Axis | |
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| Planar Pure Rotation about an Axis Perpendicular to the Plane of Motion | |
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| Vector Relations for Rotation in a Plane | |
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| Constraints to the Motion | |
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| General Plane Motion | |
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| Absolute and Relative Velocities in Plane Motion of a Rigid Body | |
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| Experimental Motion Data | |
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| Angular Velocity for Noisy Experimental Data | |
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| Direct Vector Method to Obtain the Angular Velocity | |
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| Instantaneous Center of Rotation in Plane Motion | |
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| Instantaneous Center of Rotation between Two Rigid Bodies | |
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| Absolute and Relative Acceleration of a Rigid Body in Plane Motion | |
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| Alternate Solution of the Acceleration of Rigid Bodies | |
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| Kinematics of a System of Rigid Bodies | |
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| Analysis of Plane Motion in Terms of a Parameter | |
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| General Three-Dimensional Motion of a Rigid Body | |
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| Linear and Angular Acceleration | |
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| Constraints to the General Three-Dimensional Motion of a Rigid Body | |
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| Rigid Body with a Fixed Point in Space | |
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| Other Constraints | |
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| Instantaneous Helical Axis, or Screw Axis | |
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| Motion of a Rigid Body Having a Fixed Point in Space | |
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| Instantaneous Helical Axis of Rotation between Two Rigid Bodies | |
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| Motion with Respect to Rotating Reference Frame or Coordinate System | |
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| Dynamics of Rigid Bodies in Plane Motion Introduction | |
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| Linear and Angular Momentum | |
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| Equations of Motion for Rigid Bodies in Plane Motion | |