Description
Book description:
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Author's name: Abulnour Abdullah
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Number of pages: 367 pages
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The subject of the book: The book is about analytical mechanics
The contents of the book:
Chapter One
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Restrictions and their types
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Types of Mechanical Systems
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Generalized coordinates
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Coordinate transformation equations
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Generalized speeds
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Group degrees of freedom
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Small displacements in coordinates
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Generalized forces
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Kinetic energy and generalized momentum
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Conservative and non-conservative groups
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Examples and exercises
Chapter Two
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Lagrange Equations for Fully Constrained Sets
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Applications of using procedural equations
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Lagrangian equations for infinitely restricted sets
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Lagrange and momentum equations
Chapter Three
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Definition of generalized momentum
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Definition of the Hamiltonian function
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Deriving Hamilton's equations
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Examples and exercises
Chapter Four
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Hamilton's Principle of Lesser Impact or Lesser Action)
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Hamilton's Rule (Principle)
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Deriving Lagrangian equations from Hamilton's principle
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Examples and exercises
Chapter Five
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Periodic or neglected coordinates
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Methods for studying dynamical problems with neglected coordinates
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Routh's function and equations
Chapter Six
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Legal or solicitation conversions
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Generating functions
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The requirement for legal transfers
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The Hamilton-Jacobi Equation
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Examples and exercises
Chapter Seven
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Brackets for garters
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Poisson bows
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Properties of Poisson brackets
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Test the legality of the conversion using Poisson brackets and no algebra
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Examples and exercises
Chapter Eight
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Definitions
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Law of Momentum and Angular Acceleration
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The kinetic energy of a body in planar motion
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The angular momentum of the coherent body
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Studying the motion of a compound pendulum
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Studying a ball rolling down a rough inclined plane
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Supplements
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References
Also browse:
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A special collection of books Abulnour Abdullah
