Dynamics with Vibration

This course will guide students through Dynamics, the branch of Engineering Mechanics that deals with the movement of bodies subject to forces and constraints. The study of motion and its causes is developed in two stages, kinematics and kinetics. As a tool for Engineering, Dynamics will provide students with the methods to analyze and use physical laws in mechanical devices, such as the moving parts in an engine. The course includes basic elements of point particle physics, Newton's First, Second, and Third Law, the behavior of systems of point particles, collisions, and rigid systems. It also makes use of conservation laws, such as energy, momentum, and angular momentum conservation to predict system behavior.

Students will have the opportunity to discuss in physical and quantitative terms the motion of projectiles, of pendulums, of bodies subject to viscous drag, the functioning of mechanical devices, levers, and gearwheels.

The course has an added module that will expand study to mechanical vibrations. In this module students will study how to establish the equations for analyzing the vibrations of mechanical objects (particles and rigid bodies) by applying Newton's Laws as well as with the energy methods. Attention will also be given to the analysis of the free and forced mechanical vibrations with/without viscous damping, and an introduction to the particularities of nonlinear vibrations will also be presented.