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Applied mathematics made simple /
Applied Mathematics: Made Simple provides an elementary study of the three main branches of classical applied mathematics: statics, hydrostatics, and dynamics. The book begins with discussion of the concepts of mechanics, parallel forces and rigid bodies, kinematics, motion with uniform acceleration...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London :
Heinemann,
[1982]
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| Colección: | Made simple books (Heinemann (Firm))
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Applied Mathematics: Made Simple; Copyright Page; Foreword; Table of Contents; CHAPTER ONE. MECHANICS; (1) Rigid Bodies; (2) Characteristics of a Force; (3) Measuring Force with a Spring; (4) Mass and Weight; (5) The Unit of Force; (6) Newton's Third Law; (7) Simple Force Diagrams; CHAPTER TWO. PARALLEL FORCES AND RIGID BODIES; (1) Turning Effect of a Force; (2) The Beam Balance; (3) Calculation of Moments; (4) Resultant of Two Parallel Forces; (5) Centre of Gravity; (6) Composite Figures; (7) Solid Figures; CHAPTER THREE. KINEMATICS; (1) Speed and Velocity.
- (2) Speed-Time Formulae(3) Distance-Time Graphs; (4) Non-uniform Speeds; (5) Speed-Time Graphs; CHAPTER FOUR. MOTION WITH UNIFORM ACCELERATION IN ASTRAIGHT LINE; (1) Acceleration; (2) Equations of Motion; (3) Acceleration due to Gravity; CHAPTER FIVE. NEWTON'S LAWS OF MOTION; (1) Momentum; (2) The First Law; (3) The Second Law; (4) Impulse of a Force; (5) The Third Law; CHAPTER SIX. AN INTRODUCTION TO VECTORS; (1) Revision of Trigonometry; (2) Sine rule and Cosine rule; (3) Vector Quantities; (4) Vector Addition; (5) Resultant of Three Vectors.
- CHAPTER SEVEN. VECTOR ALGEBRA AND COPLANAR FORCES(1) Addition and Subtraction; (2) Distributive Law and Associative Law; (3) Vectors in Elementary Geometry; (4) The Polygon of Forces; (5) Non-concurrent Vectors; (6) Resolution of Vectors; (7) Resolving Non-concurrent Vectors; (8) Locating the Line of Action; CHAPTER EIGHT. RELATIVE MOTION; (1) Latitude and Longitude; (2) Finding Latitude; (3) Finding Longitude; (4) Course Calculations; (5) Moving Reference Point; (6) Positions of Closest Approach; CHAPTER NINE. PROJECTILES; (1) Vector Components; (2) Acceleration; (3) Equations of Motion.
- (4) General Equations for Projectile Motion(5) Motion Down an Inclined Plane; (6) Motion Down a Chord of a Circle; (7) Lines of Quickest Descent; CHAPTER TEN. FRICTION; (1) Force of Friction; (2) Experimental Investigation of Static Friction; (3) Motive Force at an Angle to the Slope; (4) Toppling before Sliding; (5) Stable and Unstable Equilibrium; (6) Freely Hanging Load; CHAPTER ELEVEN. RIGID BODIES IN EQUILIBRIUM UNDER THEACTION OF COPLANAR FORCES; (1) Point of Concurrency; (2) Force Normal to a Surface; (3) Frictional Force and Normal Reaction.
- (4) Equilibrium of a Body under the Action of More than Three ForcesCHAPTER TWELVE. WORK, ENERGY AND POWER; (1) Work; (2) Kinetic Energy; (3) Motion at an Angle to the Force Producing it; (4) Potential Energy; (5) Conservation of Energy; (6) Momentum; (7) Power; CHAPTER THIRTEEN. MACHINES; (1) Mechanical Advantage; (2) Levers; (3) Wheel and Axle; (4) Velocity Ratio; (5) Inclined Plane; (6) Pulleys; (7) The Law of the Machine; CHAPTER FOURTEEN. HYDROSTATICS I: DENSITY, RELATIVE DENSITY, AND BUOYANCY; (1) Density; (2) Mixtures; (3) The Relative-density Bottle; (4) Archimedes' Principle.