Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Kinematics. Force-momentum formulation for systems of particles and rigid bodies in planar motion. Work-energy concepts. Virtual displacements and virtual work. Lagrange's equations for systems of particles and rigid bodies in planar motion. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear multi-degree of freedom models of mechanical systems; matrix eigenvalue problems.
Fall 2020 Update: Fully Remote Classes - 2.003 will be taught remotely through a combination of off-line and on-line resources. In order to provide a successful remote experience to as many students as possible, we will rely on: 1) off-line comprehensive materials including lecture notes and videos, recitation notes and videos, practice problems with solutions, and extra reading materials; and 2) on-line live interaction opportunities during lectures, recitations, review sessions, office hours, and small-group tutoring.
The pace of 2.003 will be set by weekly efforts around focused topics in dynamics. Each week's lectures, recitations, homework, and office hours will be focused on a topic, and will complement each other. To maintain a sense of class continuity and integration, we will combine Zoom-based live interactions, Piazza-based asynchronous Q&As, Gradescope-based assignment tracking, and regular class status updates, all integrated through Canvas.