## Analytical Mechanics |

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User Review - IvanIdris - LibraryThingMechanics was one of the first (if not the first) courses I followed in University. “Analytical Mechanics” is a brilliant junior level book that covers: Newton’s Laws of Motion Harmonic motion Kepler ... Read full review

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### Contents

FUNDAMENTAL CONCEPTS VECTORS | 1 |

NEWTONIAN MECHANICS RECTILINEAR MOTION | 44 |

OSCILLATIONS | 70 |

Copyright | |

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### Common terms and phrases

acceleration air resistance amplitude angle 9 angular frequency angular momentum angular velocity assume axis of rotation ball calculate center of mass circular orbit coefficient collision components constant coordinate system cos2 cross product cylinder damping defined derivative differential equation direction displacement distance dot product earth elliptical equal equation of motion equilibrium position example expression forces acting frame of reference frequency friction given harmonic oscillator Hence horizontal inertia integral inverse-square law kinetic energy Lagrangian length linear momentum magnitude matrix Newton's obtain particle moves particle of mass path period perpendicular physical potential energy potential energy function precession principal axes problem projectile quadratic quantity radial radius result rigid body scalar Show shown in Figure simple pendulum solution solve speed spherical surface symmetry axis tion torque total energy trajectory uniform unit vector v-axis vanish velocity vector vertical wheel z-axis zero