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Mechanics /
~
Pandit, Ashok.
Mechanics /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Mechanics /Ashok S. Pandit.
作者:
Pandit, Ashok.
出版者:
Boca Raton, FL :CRC Press ;2001.
面頁冊數:
viii, 190 p. :ill. ;25 cm.
標題:
Mechanics.
電子資源:
http://www.loc.gov/catdir/toc/fy036/00050718.html
ISBN:
0849309794 (alk. paper)
Mechanics /
Pandit, Ashok.
Mechanics /
Ashok S. Pandit. - Boca Raton, FL :CRC Press ;2001. - viii, 190 p. :ill. ;25 cm.
Includes bibliographical references and index.
Machine generated contents note: 1 Basic Concepts of Motion 1 -- 1.1 Introduction 1 -- 1.2 Concepts of a Particle 4 -- 1.3 Motion of a Particle 5 -- 1.4 Motion in a Plane 12 -- 1.5 Polar Coordinates 14 -- 1.6 Equation of Motion 24 2 Rectilinear Motion 35 -- 2.1 Introduction. 35 -- 2.2 Equation of Rectilinear Motion 36 -- 2.3 Integration of Equation of Motion 37 -- 2.4 Some Qualitative Analysis 41 3 First Integrals of Motion 51 -- 3.1 Introduction 51 -- 3.2 Conservative Force Fields 52 -- 3.3 Energy, Momentum and Torque 55 -- 3.4 Conservation Principles 57 -- 3.5 Use of Conservation Principles 59 4 Central Force Fields 73 -- 4.1 Introduction 73 -- 4.2 Basic Properties 75 -- 4.3 Equation of Motion in Polar Coordinates 78 -- 4.4 Integration of Equations of Motion 83 -- 4.5 An Explanation 84 -- 4.6 Circular Orbits 87 -- 4.7 Force Field from Equation of Orbit 90 -- 4.8 Planetary Motion (Kepler's Problem) 92 -- 5 System of Particles 103 -- 5.1 Introduction 103 -- 5.2 A System of Particles 104 -- 5.3 The Center of Mass 105 -- 5.4 Some More Definitions 107 -- 5.5 Conservation Principles 111 -- 5.6 The Two Body Problem 114 -- 5.7 Some Solved Examples 117. 6 Rigid Dynamics 125 -- 6.1 Introduction 125 -- 6.2 The Nature of Motion 128 -- 6.3 The Instantaneous Angular Velocity 130 -- 6.4 Equations of Motion 139 -- 6.5 The Inertia Tensor 140 -- 6.6 Euler's Equations 145 -- 6.7 Symmetric Rigid Bodies 148 7 Lagrangian Mechanics 155 -- 7.1 Introduction 155 -- 7.2 Generalized Coordinates 160 -- 7.3 Motion 162 -- 7.4 The Lagrangian Function 163 -- 7.5 Lagrange's Equations 167 -- 7.6 Hamilton's Principle of Least Action 172 -- 7.7 Hamilton's Equations of Motion 174 -- 7.8 Conservation Principles 182 -- Supplementary Reading 187 -- Index 188.
ISBN: 0849309794 (alk. paper)
LCCN: 00050718 Subjects--Topical Terms:
200022
Mechanics.
LC Class. No.: QC125.2 / .P36 2001
Dewey Class. No.: 531
Mechanics /
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Machine generated contents note: 1 Basic Concepts of Motion 1 -- 1.1 Introduction 1 -- 1.2 Concepts of a Particle 4 -- 1.3 Motion of a Particle 5 -- 1.4 Motion in a Plane 12 -- 1.5 Polar Coordinates 14 -- 1.6 Equation of Motion 24 2 Rectilinear Motion 35 -- 2.1 Introduction. 35 -- 2.2 Equation of Rectilinear Motion 36 -- 2.3 Integration of Equation of Motion 37 -- 2.4 Some Qualitative Analysis 41 3 First Integrals of Motion 51 -- 3.1 Introduction 51 -- 3.2 Conservative Force Fields 52 -- 3.3 Energy, Momentum and Torque 55 -- 3.4 Conservation Principles 57 -- 3.5 Use of Conservation Principles 59 4 Central Force Fields 73 -- 4.1 Introduction 73 -- 4.2 Basic Properties 75 -- 4.3 Equation of Motion in Polar Coordinates 78 -- 4.4 Integration of Equations of Motion 83 -- 4.5 An Explanation 84 -- 4.6 Circular Orbits 87 -- 4.7 Force Field from Equation of Orbit 90 -- 4.8 Planetary Motion (Kepler's Problem) 92 -- 5 System of Particles 103 -- 5.1 Introduction 103 -- 5.2 A System of Particles 104 -- 5.3 The Center of Mass 105 -- 5.4 Some More Definitions 107 -- 5.5 Conservation Principles 111 -- 5.6 The Two Body Problem 114 -- 5.7 Some Solved Examples 117. 6 Rigid Dynamics 125 -- 6.1 Introduction 125 -- 6.2 The Nature of Motion 128 -- 6.3 The Instantaneous Angular Velocity 130 -- 6.4 Equations of Motion 139 -- 6.5 The Inertia Tensor 140 -- 6.6 Euler's Equations 145 -- 6.7 Symmetric Rigid Bodies 148 7 Lagrangian Mechanics 155 -- 7.1 Introduction 155 -- 7.2 Generalized Coordinates 160 -- 7.3 Motion 162 -- 7.4 The Lagrangian Function 163 -- 7.5 Lagrange's Equations 167 -- 7.6 Hamilton's Principle of Least Action 172 -- 7.7 Hamilton's Equations of Motion 174 -- 7.8 Conservation Principles 182 -- Supplementary Reading 187 -- Index 188.
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