This text is a modern vector-oriented treatment of classical dynamics and its application to engineering problems. Based on Ginsberg's Advanced Engineering Dynamics, 2nd edition, it develops a broad spectrum of kinematical concepts, which provide the framework for formulations of kinetics principles following the Newton-Euler and analytical approaches. This fresh treatment features many expanded and new derivations, with an emphasis on both breadth and depth and a focus on making the subject accessible to individuals from a broad range of backgrounds. Numerous examples implement a consistent pedagogical structure. Many new homework problems were added and their variety increased.
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Kinematics of Constrained Rigid Bodies
Inertial Effects for a Rigid Body
NewtonEuler Equations of Motion
Introduction to Analytical Mechanics
analysis angular acceleration angular momentum angular speed angular velocity arbitrary axes body-fixed center of mass centroidal coefficient collar components relative condition consider constant constraint forces corresponding cos0 defined denote Derive described Determine differential equations direction disk Dynamics equations of motion Eulerian angles evaluate EXERCISE expression force F forces acting formulation free-body diagram friction force function gimbal horizontal inertia ellipsoid inertia properties initial instant integral kinematical kinetic energy Lagrange Lagrange multipliers Lagrange's equations leads linear matrix moments of inertia nutation nutation angle obtained orientation parallel parameters particle path perpendicular plane position precession precession rate quasi-velocities rad/s radius reference frame relation relative to xyz requires rigid body rolls without slipping rotation rate sin0 situation sketch solve specified spin rate steady precession Substitution tion torque unit vectors variables velocity and acceleration vertical axis virtual displacement xyz coordinate system zero
Page 2 - The length of the arrow is proportional to the magnitude of the particle velocity.
Page 14 - Indeed, the time derivative of a, which is called the jerk, occurs primarily in considerations of ride comfort for vehicles. Newton's laws have been translated in a variety of ways from their original statement in the Principia (1687), which was in Latin. We shall use the following version. First Law The velocity of a particle can only be changed by the application of a force. Second Law The resultant force (that is, the sum of all forces) acting on a particle is proportional to the acceleration...