The goal of the course is to introduce students to the analysis of particle and rigid-body motion.
This Engineering Dynamics (MEC262) class focuses on the vectoral kinematics and dynamics of particles and rigid bodies. The students learn to represent and compute displacement, velocity, and acceleration of particles and rigid bodies in different coordinate systems. Further upon, they learn to relate forces and motions of particles and rigid bodies using Newton’s laws and Newton-Euler equations. Free, forced, and damped vibrations of particles and rigid bodies are presented in the end.
MEC 262, offered in the spring and the summer semesters at Stony Brook University is a core, required undergraduate class in the Mechanical Engineering department that students have to pass with a grade of C or better to advance further in the major. Engineering Statics (MEC260) with a grade of C or higher is a pre-requisite for this class. The class deals with kinematics and kinetics of particles and rigid bodies and advocates and rigorously enforces a vector-based systematic approach to problem solving, which helps students learn that every problem does not require a different approach to solving problems. The class prepares students to take junior-level Kinematics of Machinery, Machine Design, and Senior Design classes, wherein a solid theoretical and analytical foundation in Engineering Dynamics is must.
Upon completion of this course, students will be able to:
CLO 1. Determine the position, velocity and acceleration of a particle and system of particles in Cartesian, Polar as well as Normal and Tangential coordinate systems.
CLO 2. Draw Free Body Diagrams and apply Newton’s laws of motion to calculate (1) the displacement, velocity, and acceleration of a particle system caused by given forces, and (2) the forces needed for a particle system to move in a prescribed way.
CLO 3. Compute work, potential energy and kinetic energy for particle(s), and apply work-energy approach to problems where forces and acceleration are not primary quantities of interest and to use these principles to obtain velocity, displacement, and the work done by external forces
CLO 4. Compute Momentum and Impulse of particle(s) and apply Momentum-Impulse approach to problems where velocity, time, and forces are related in a more natural way.
CLO 5. Determine the velocity and acceleration components of a system of connected rigid bodies with pinned, sliding and rolling connections.
CLO 6. Draw Free Body Diagram and apply Newton-Euler equations to relate forces and moments acting on rigid bodies in planar motion with their linear and angular acceleration.
CLO 7. Compute potential- and kinetic-energy for a system of interconnected rigid bodies moving in a plane, and apply work-energy principle to the problems where forces and acceleration are not primary quantities of interest and to use these principles to obtain velocity, displacement, and the work done by external forces.
CLO 8. Derive and solve differential equation of motions for particles and rigid bodies under free, forced, and damped vibrations.