Engineering Dynamics

This course is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics covered include kinematics, force-momentum formulation for systems of particles and rigid bodies in planar motion, work-energy concepts, virtual displacements and virtual work. Students will also become familiar with the following topics: Lagrange’s equations for systems of particles and rigid bodies in planar motion, and linearization of equations of motion. After this course, students will be able to evaluate free and forced vibration of linear multi-degree of freedom models of mechanical systems and matrix eigenvalue problems.

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Syllabus

About this Course

This course is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics covered include kinematics, force-momentum formulation for systems of particles and rigid bodies in planar motion, work-energy concepts, virtual displacements and virtual work. Students will also become familiar with the following topics: Lagrange’s equations for systems of particles and rigid bodies in planar motion, and linearization of equations of motion. After this course, students will be able to evaluate free and forced vibration of linear multi-degree of freedom models of mechanical systems and matrix eigenvalue problems.

Prerequisites and Preparation

In order to take this course at MIT, students are expected to be comfortable with the material from the following subjects:

Math Requirements

18.01SC, 18.02SC, 18.03SC

Physics Requirements

8.01SC

Course Components and Requirements

This course consists of the following components:

• Lectures
• Recitations
• Problem Sets and Readings
• Quizzes and Exams

Lectures

Two lectures will be given each week. There will be physical and computational demonstrations in some of the lectures. Each lecture will be associated with a reading from the text. It is recommended that the students have read the assigned reading before lecture.

Videos of the twice-weekly lectures are provided. Each lecture can be viewed either as a whole, or you can jump to particular points in the lecture video by clicking on the concept links below the lecture.

Video Lectures:

Lecture 1: History of Dynamics; Motion in Moving Reference Frames

Lecture 2: Newton’s Laws and Describing the Kinematics of Particles

Lecture 3: Motion of Center of Mass; Acceleration in Rotating Ref. Frames

Lecture 4: Movement of a Particle in Circular Motion w/ Polar Coordinates

Lecture 5: Impulse, Torque, and Angular Momentum for a System of Particles

Lecture 6: Torque and the Time Rate of Change of Angular Momentum

Lecture 7: Degrees of Freedom, Free Body Diagrams, and Fictitious Forces

Lecture 8: Fictitious Forces and Rotating Mass

(Many more)