Dynamics Of Rigid Bodies

Study of the geometry of motion of particles without considering the forces causing the motion, including rectilinear and curvilinear motion.

Application of Newton's Second Law to determine the motion of a particle subjected to unbalanced forces.

Application of the Principle of Work and Energy to solve kinetics problems involving displacement and speed, including conservative and non-conservative forces.

Application of the principle of linear impulse and momentum to solve problems involving force, mass, velocity, and time, including systems of particles.

Analysis of the motion of solid bodies where distances between any two points remain constant, including translation, rotation, and general plane motion.

Application of Newton's Second Law and Euler's Equations to determine the general plane motion of rigid bodies.

Energy methods applied to rigid bodies, including rotational kinetic energy, potential energy of rigid bodies, and conservation of energy.

Analysis of impulsive forces and moments acting on rigid bodies, introducing angular momentum and the principle of impulse and momentum.

Analysis of the motion of rigid bodies in three dimensions, including translation, rotation about a fixed axis, general motion, and Euler's theorem.

Study of the relationships between the forces and moments acting on rigid bodies and the resulting 3D motion, including Eulerian angles, gyroscopic motion, and torque-free motion.

Introduction to free and forced vibrations of single-degree-of-freedom systems, including torsional vibrations and damping.