Screen LibraryApplied 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...
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| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Published: |
Heinemann,
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| Publisher Address: | London : |
| Publication Dates: |
[1982] ©1982 |
| Literature type: | eBook |
| Language: | English |
| Series: |
Made simple books
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| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9780434985418 |
| Summary: |
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 in a straight line, and Newton's law of motion. Separate chapters cover vector algebra and coplanar motion, relative motion, projectiles, friction, and rigid bodies in equilibrium under the action of coplanar forces. The final chapters deal with machines and hydrostatics. |
| Item Description: |
Includes index. Originally published: London : W.H. Allen, 1971. |
| Carrier Form: | 1 online resource (viii, 344 pages) : illustrations. |
| ISBN: |
9781483141961 1483141969 |
| Index Number: | QC20 |
| CLC: | O411.1 |
| Contents: |
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. |