## Analytical mechanicsWith the direct, accessible, and pragmatic approach of Fowles and Cassiday's ANALYTICAL MECHANICS, Seventh Edition, thoroughly revised for clarity and concision, students will grasp challenging concepts in introductory mechanics. A complete exposition of the fundamentals of classical mechanics, this proven and enduring introductory text is a standard for the undergraduate Mechanics course. Numerical worked examples increased students' problem-solving skills, while textual discussions aid in student understanding of theoretical material through the use of specific cases. |

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#### Review: Analytical Mechanics

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### Contents

FUNDAMENTAL CONCEPTS VECTORS | 1 |

VECTOR CALCULUS AND KINEMATICS OF A PARTICLE | 21 |

DYNAMICS OF A PARTICLE RECTILINEAR MOTION | 41 |

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### Common terms and phrases

air resistance amplitude angle angular momentum angular velocity axis of rotation called center of mass central field Chapter circular orbit coefficient collision components conservative constant coordinate system cross product defined denote derivative differential equation direction displacement distance earth elliptic energy equation equal equation of motion equilibrium position example expressed fixed follows force acting force F given gravitational field harmonic oscillator Hence horizontal impulse initial integration inverse-square kinetic energy Lagrange's equations lamina length linear momentum Lorentz transformation magnitude matrix normal frequencies particle moves particle of mass path perpendicular position vector potential energy precession primed system principal axes problem products of inertia projectile quantity radial radius relative rest result rigid body scalar Section Show shown in Figure sin2 solution speed spherical spherical pendulum symmetry axis tion torque uniform unit vector vanish vertical world line write zero