Analytical MechanicsMaster introductory mechanics with ANALYTICAL MECHANICS! Direct and practical, this physics text is designed to help you grasp the challenging concepts of physics. Specific cases are included to help you master theoretical material. Numerous worked examples found throughout increase your problem-solving skills and prepare you to succeed on tests. |
Contents
FUNDAMENTAL CONCEPTS VECTORS | 1 |
VECTOR CALCULUS AND KINEMATICS OF A PARTICLE | 21 |
DYNAMICS OF A PARTICLE RECTILINEAR MOTION | 41 |
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acceleration air resistance amplitude angle angular momentum angular velocity axis of rotation center of mass central field circular orbit coefficient collision components conservative constant coordinate system cross product defined denote derivative differential equation direction displacement distance earth ellipsoid elliptic energy equation equal equation of motion example expressed force acting force F function given harmonic oscillator Hence impulse initial integration inverse-square kinetic energy Lagrange's equations length linear momentum Lorentz transformation m₁ magnitude moment of inertia particle moves particle of mass path pendulum perpendicular plane position vector potential energy precession principal axes problem products of inertia projectile quantity r₁ radial radius relative rigid body Section Show shown in Figure sin² solution speed spherical spherical pendulum tion torque uniform unit vector V₁ velocity vector vertical write zero дак