Category Archives: Engineering Mathematics Blog
Chapter 13: Temperature, Kinetic Theory, and the Gas Laws
Temperature
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Thermal Expansion of Solids and Liquids
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The Ideal Gas Law
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Kinetic Theory: Atomic and Molecular Explanation of Pressure and Temperature
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Humidity, Evaporation, and Boiling
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Chapter 12: Fluid Dynamics and Its Biological and Medical Applications
Flow Rate and Its Relation to Velocity
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Bernoulli’s Equation
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The Most General Applications of Bernoulli’s Equation
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Viscosity and Laminar Flow; Poiseuille’s Law
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The Onset of Turbulence
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Molecular Transport Phenomena: Diffusion, Osmosis, and Related Processes
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Chapter 11: Fluid Statics
Density
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Pressure
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Variation of Pressure with Depth in a Fluid
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Pascal’s Principle
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Gauge Pressure, Absolute Pressure, and Pressure Measurement
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Archimedes’ Principle
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Cohesion and Adhesion in Liquids: Surface Tension and Capillary Action
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Pressures in the Body
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Chapter 10: Rotational Motion and Angular Momentum
Angular Acceleration
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Kinematics of Rotational Motion
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Dynamics of Rotational Motion: Rotational Inertia
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Rotational Kinetic Energy: Work and Energy Revisited
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Angular Momentum and Its Conservation
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Collisions of Extended Bodies in Two Dimensions
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Gyroscopic Effects: Vector Aspects of Angular Momentum
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Chapter 9: Statics and Torque
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The Second Condition for Equilibrium
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Stability
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Applications of Statics, Including Problem-Solving Strategies
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Simple Machines
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Forces and Torques in Muscles and Joints
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Chapter 8: Linear Momentum and Collisions
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Linear Momentum and Force
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Impulse
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Conservation of Momentum
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Elastic Collisions in One Dimension
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Inelastic Collisions in One Dimension
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Collisions of Point Masses in Two Dimensions
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Introduction to Rocket Propulsion
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Chapter 7: Work, Energy, and Energy Resources
Work: The Scientific Definition
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Kinetic Energy and the Work-Energy Theorem
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Gravitational Potential Energy
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Conservative Forces and Potential Energy
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Nonconservative Forces
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Conservation of Energy
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Power
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Work, Energy, and Power in Humans
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World Energy Use
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Chapter 6: Uniform Circular Motion and Gravitation
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Rotation Angle and Angular Velocity
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Centripetal Acceleration
Problem 22
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Centripetal Force
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Newton’s Universal Law of Gravitation
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Satellites and Kepler’s Laws: An Argument for Simplicity
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Chapter 5: Further Applications of Newton’s Laws: Friction, Drag, and Elasticity
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Friction
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Drag Forces
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Elasticity: Stress and Strain
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