An Introduction to Mechanics

Front Cover
Alpha Science Int'l Ltd., 1999 - Mechanics - 419 pages
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This text describes advanced studies in applied mathematics and applied physics. The text includes a discussion of vector analysis followed by its applications in particle mechanics and mechanics of rigid bodies. Each chapter contains solved problems and examples which help to illustrate the principles discussed in the chapter. The last two chapters deal with Lagrange's theorem and Hamilton's theorem and their applications in calculus of variations - a mathematical tool, needed in the study of applied mathematics and applied physics.
 

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Contents

Introduction
1
Differentiation and Integration of Vectors
33
Gradient Divergence and Curl
53
Integral Theorem
69
Rectilinear Motion
99
33
110
Plane Kinematics
121
Moments and Stability of Equilibrium
139
53
237
Moment of Inertia
248
Impulsive Motion
274
The Equation of Lagrange and Hamilton
305
Calculus of Variation
311
Theory of Curves
325
Theory of Surfaces and Curvilinear Coordinates
359
Curves on a Surface
390

Work and Energy
158
Centre of Gravity
179
Friction
194
Motion of a Particle
214
Projectile
232

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