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INTRODUCTION 1 Divisions of Mechanics
Postulates of Mechanics
Validity of Mechanics
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acceleration angle applied forces approach zero areal velocity attraction axes called centroid classical mechanics consequently constant vector constraints coordinate vectors coordinates cord corresponding d'Alembert's Principle definition density derivative determine differential equation direction and sense distance equa equal equation of motion exterior forces fixed axis fixed point follows force f forces acting formula given gradient Hamilton's Principle harmonic horizontal imposed conditions inertia instant integral kinetic energy Lagrange's equations length mass moving necessary and sufficient normal null system osculating plane parallel path perpendicular plane positive sense Principle problem prove quantity radius vector region relative respect rigid body satisfying scalar function scalar product scalar velocity second member sense of rotation set of particles Show sliding vectors sphere surface tangent tension g theorem tion triangle unit vector vanish variable vector function vertical virtual displacements