The mathematics of projectiles in sport

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The mathematics of projectiles in sport / Neville de Mestre

資料種別:: 図書
出版情報:: Cambridge : Cambridge University Press, 1990
形態:: xi, 175 p. ; 23 cm
シリーズ名:: Australian Mathematical Society lecture series ; 6 <BA00549447>
著者名:: De Mestre, Neville <DA04819299>
ISBN:: 9780521398572 [0521398576] (: pbk.)
書誌ID:: BA11108454

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注記:

Includes bibliographical references (p. [168]-172) and index

主題:

Projectiles--Mathematical models; Sports--Mathematical models

目次情報:

Preface

Motion Under Gravity Alone / 1.：

Gravity / 1.1：

Velocity and Position Vectors / 1.2：

Point of Impact / 1.3：

The Vertex of the Trajectory / 1.4：

Projection from a Different Level / 1.5：

Inclined Plane / 1.6：

Enveloping Parabola / 1.7：

Dimensionless Equations / 1.8：

Exercises / 1.9：

Motion in a Linear Resisting Medium / 2.：

Maximum Height / 2.1：

Impact Time to the Horizontal Plane / 2.3：

Range on the Horizontal Plane / 2.4：

Envelopes / 2.5：

Inclined Planes / 2.6：

Curve of Safety / 2.7：

Motion in a Non-Linear Resisting Medium / 2.8：

Non-linear Drag / 3.1：

Cartesiau Equations for Power-law Drag / 3.2：

Acceleration Components / 3.3：

Power-law Solution / 3.4：

Applications of the Power-law Solution / 3.5：

Other Non-linear Drag Functions / 3.6：

The Basic Equations and Their Numerical Solution / 3.7：

The Basic Equations / 4.1：

Ballistic Table Computations / 4.2：

Simple Application / 4.3：

Range Tables / 4.4：

Variations within the Basic Equations / 4.5：

Graphical Technique / 4.6：

Small Drag or Small Gravity / 4.7：

Perturbation Techniques / 5.1：

Gravity or Drag Perturbations / 5.2：

Corrections Due to Other Effects / 5.3：

Effects Other Than Constant Gravity and Variable Drag / 6.1：

Coriolis Corrections / 6.2：

Gravity Corrections / 6.3：

Density, Temperature, Pressure and Humidity Variations / 6.4：

Lift and Sideways Aerodynamic Corrections / 6.5：

Wind Corrections / 6.6：

Overturning Moment / 6.7：

Differential Corrections / 6.8：

Spin Effects / 6.9：

Overcoming Yaw / 7.1：

Spin Stabilisation of Shells / 7.2：

Spinning Spheres / 7.3：

Fluid Dynamics / 7.4：

The Magnus Effect / 7.5：

The Swing of a Cricket Ball / 7.6：

Spinning Seeds / 7.7：

The Equations of Motion for a Spinning Shell / 7.8：

Projectiles in Sport and Recreation / 7.9：

Classes of Projectiles / 8.1：

Drag-to-weight Ratio / 8.2：

Shot-put and Hammer Throw / 8.3：

Basketball / 8.4：

Tennis, Table Tennis and Squash / 8.5：

Badminton / 8.6：

Golf / 8.7：

Cricket / 8.8：

Baseball / 8.9：

Soccer / 8.10：

Rugby and Australian Rules Football / 8.11：

Javelin / 8.12：

Discus, Frisbee and Flying Ring / 8.13：

Long Jump, High Jump and Ski Jump / 8.14：

Boomerangs / 8.15：

Water Jets / 8.16：

Cars and Cycles / 8.17：

Seed Dispersal / 8.18：

The Longest Throw or Kick / 8.19：

References / 8.20：

Index

Preface

Motion Under Gravity Alone / 1.：

Gravity / 1.1：

Velocity and Position Vectors / 1.2：

Point of Impact / 1.3：

The Vertex of the Trajectory / 1.4：

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