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| Straight Lines in Engineering | |
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| Vehicle during Braking | |
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| Voltage-Current Relationship in a Resistive Circuit | |
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| Force-Displacement in a Preloaded Tension Spring | |
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| Further Examples of Lines in Engineering | |
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| Problems | |
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| Quadratic Equations in Engineering | |
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| A Projectile in a Vertical Plane | |
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| Current in a Lamp | |
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| Equivalent Resistance | |
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| Further Examples of Quadratic Equations in Engineering | |
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| Problems | |
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| Trigonometry in Engineering | |
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| Introduction | |
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| One-Link Planar Robot | |
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| Kinematics of One-Link Robot | |
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| Inverse Kinematics of One-Link Robot | |
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| Two-Link Planar Robot | |
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| Direct Kinematics of Two-Link Robot | |
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| Inverse Kinematics of Two-Link Robot | |
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| Further Examples of Two-Link Planar Robot | |
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| Further Examples of Trigonometry in Engineering | |
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| Problems | |
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| Two-Dimensional Vectors in Engineering | |
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| Introduction | |
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| Position Vector in Rectangular Form | |
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| Position Vector in Polar Form | |
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| Vector Addition | |
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| Examples of Vector Addition in Engineering | |
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| Problems | |
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| Complex Numbers in Engineering | |
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| Introduction | |
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| Position of One-Link Robot as a Complex Number | |
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| Impedance of R, L, and C as a Complex Number | |
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| Impedance of a Resistor R | |
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| Impedance of an Inductor L | |
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| Impedance of a Capacitor C | |
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| Impedance of a Series RLC Circuit | |
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| Impedance of R and L Connected in Parallel | |
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| Armature Current in a DC Motor | |
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| Further Examples of Complex Numbers in Electric Circuits | |
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| Complex Conjugate | |
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| Problems | |
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| Sinusoids in Engineering | |
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| One-Link Planar Robot as a Sinusoid | |
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| Angular Motion of the One-Link Planar Robot | |
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| Relations between Frequency and Period | |
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| Phase Angle, Phase Shift, and Time Shift | |
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| General Form of a Sinusoid | |
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| Addition of Sinusoids of the Same Frequency | |
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| Problems | |
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| Systems of Equations in Engineering | |
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| Introduction | |
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| Solution of a Two-Loop Circuit | |
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| Tension in Cables | |
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| Further Examples of Systems of Equations in Engineering | |
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| Problems | |
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| Derivatives in Engineering | |
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| Introduction | |
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| What Is a Derivative? | |
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| Maxima and Minima | |
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| Applications of Derivatives in Dynamics | |
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| Position, Velocity, and Acceleration | |
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| Applications of Derivatives in Electric Circuits | |
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| Current and Voltage in an Inductor | |
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| Current and Voltage in a Capacitor | |
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| Applications of Derivatives in Strength of Materials | |
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| Maximum Stress under Axial Loading | |
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| Further Examples of Derivatives in Engineering | |
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| Problems | |
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| Integrals in Engineering | |
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| Introduction: The Asphalt Problem | |
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| Concept of Work | |
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| Application of Integrals in Statics | |
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| Center of Gravity (Centroid) | |
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| Alternate Definition of the Centroid | |
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| Distributed Loads | |
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| Hydrostatic Pressure on a Retaining Wall | |
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| Distributed Loads on Beams: Statically Equivalent Loading | |
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| Applications of Integrals in Dynamics | |
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| Graphical Interpretation | |
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| Applications of Integrals in Electric Circuits | |
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| Current, Voltage, and Energy Stored in a Capacitor | |
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| Current and Voltage in an Inductor | |
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| Further Examples of Integrals in Engineering | |
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| Problems | |
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| Differential Equations in Engineering | |
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| Introduction: The Leaking Bucket | |
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| Differential Equations | |
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| Solution of Linear DEQ with Constant Coefficients | |
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| First-Order Differential Equations | |
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| Second-Order Differential Equations | |
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| Free Vibration of a Spring-Mass System | |
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| Forced Vibration of a Spring-Mass System | |
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| Second-Order LC Circuit | |
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| Problems | |
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| Answers to Selected Problems | |
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| Index | |