Dynamics problems for the WeBWorK open online homework system. Includes problems from rigid body dynamics, at the second-year level.

The "tested" problems have been deployed in a class. The "untested" problems have been tested by the creators, but not yet deployed in a class.

These problems need to be uploaded into an instance of WeBWorK to use/assign them.

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. Introduction to numerical methods and MATLAB® to solve dynamics and vibrations problems.

This class is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics include 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; and matrix eigenvalue problems. The class includes an introduction to numerical methods and using MATLAB® to solve dynamics and vibrations problems.
This version of the class stresses kinematics and builds around a strict but powerful approach to kinematic formulation which is different from the approach presented in Spring 2007. Our notation was adapted from that of Professor Kane of Stanford University.

Upon successful completion of this course, students will be able to:

Create lumped parameter models (expressed as ODEs) of simple dynamic systems in the electrical and mechanical energy domains
Make quantitative estimates of model parameters from experimental measurements
Obtain the time-domain response of linear systems to initial conditions and/or common forcing functions (specifically; impulse, step and ramp input) by both analytical and computational methods
Obtain the frequency-domain response of linear systems to sinusoidal inputs
Compensate the transient response of dynamic systems using feedback techniques
Design, implement and test an active control system to achieve a desired performance measure

Mastery of these topics will be assessed via homework, quizzes/exams, and lab assignments.

Introduction to dynamics and vibration of lumped-parameter models of mechanical systems. Three-dimensional particle kinematics. Force-momentum formulation for systems of particles and for rigid bodies (direct method). Newton-Euler equations. Work-energy (variational) formulation for systems particles and for rigid bodies (indirect method). Virtual displacements and work. Lagrange's equations for systems of particles and for rigid bodies. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear damped lumped parameter multi-degree of freedom models of mechanical systems. Application to the design of ocean and civil engineering structures such as tension leg platforms.
This subject was originally offered in Course 13 (Department of Ocean Engineering) as 13.013J. In 2005, ocean engineering became part of Course 2 (Department of Mechanical Engineering), and this subject merged with 2.003.

These dynamics course notes were authored by Dr. Elizabeth Croft (currently at Monash University (elizabeth.croft@monash.edu) in 2004, and converted for open licensing (including figure creation) in 2019 by Dr. Agnes d'Entremont (adentremont@mech.ubc.ca) from the Department of Mechanical Engineering at the University of British Columbia, Vancouver, Canada (https://mech.ubc.ca).

The notes (are designed to be used for a second-year dynamics course in Mechanical Engineering, and cover planar rigid-body dynamics and an introduction to one degree-of-freedom vibrations. The order of topics has vibrations earlier in the series than typical, due to their use in an integrated course. This order matches the course timing of related ordinary differential equation solutions in the integrated mathematics and electric circuits courses.

These notes are intended to be skeleton notes, with substantial portions (diagrams, derivations, solutions) written in by students along with their instructor. Completed notes are included. PDF notes plus original LaTeX code and editable images (Powerpoint) are available at the link.

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Remember the relationship between current and voltage in an inductor and capacitor with the help of ELI the ICE man. Created by Willy McAllister.

Instructional materials for the course "ENGR 1110: Engineering Graphics" include videos, assignments, slides, and drawings on the following topics: engineering graphics and scales, orthographic views, isometric views, dimensioning, section views, AutoCAD, layers, colors, mirrors, fillet, arrays, chamfer, blocks, Fusion 360, sheet metal modeling, tracing, textures, lofting and more.

Instructional materials for the course "ENTC 2160: Architectural CAD" include videos demonstrating how to create CAD drawings and use CAD tools. Videos cover the following topics: exterior walls, interior walls, doors, windows, dimensioning, linetypes, electrical, slab, stairs, hatching, fireplaces, and roofing.

Instructional materials for the course "ENTC 2170: Computer Aided Design and Drafting" include videos, assignments, slides, and drawings on the following topics: engineering graphics and scales, orthographic views, isometric views, dimensioning, section views, AutoCAD, layers, colors, mirrors, fillet, arrays, chamfer, blocks, Fusion 360, sheet metal modeling, tracing, textures, lofting and more.

Dr. Thomas Zurbuchen and Dr. Ellen Stofan discuss the James Webb Space Telescope upcoming launch, as well as the Hubble Space Telescope backup mirror and historical spectrographs.

This course provides a review of physical, chemical, ecological, and economic principles used to examine interactions between humans and the natural environment. Mass balance concepts are applied to ecology, chemical kinetics, hydrology, and transportation; energy balance concepts are applied to building design, ecology, and climate change; and economic and life cycle concepts are applied to resource evaluation and engineering design. Numerical models are used to integrate concepts and to assess environmental impacts of human activities. Problem sets involve development of MATLAB® models for particular engineering applications. Some experience with computer programming is helpful but not essential.

Choice of material has implications throughout the life-cycle of a product, influencing many aspects of economic and environmental performance. This course will provide a survey of methods for evaluating those implications. Lectures will cover topics in material choice concepts, fundamentals of engineering economics, manufacturing economics modeling methods, and life-cycle environmental evaluation.

Deze cursus biedt inzicht in besluitvorming en bedrijfsvoering op inleidend niveau; en biedt inzicht in de basisbegrippen van de micro- en markteconomie; Na het volgen van deze module kunt u: 1)basisbegrippen en theorieĚÇn van de micro- en markteconomie toelichten; 2)belangrijke concepten en theorieĚÇn toepassen op eenvoudige situaties; 3)elementen uit de discipline herkennen in concrete voorbeelden van besluitvorming en management

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(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

This course is a fast-paced introduction to the C and C++ programming languages, with an emphasis on good programming practices and how to be an effective programmer in these languages. Topics include object-oriented programming, memory management, advantages of C and C++, optimization, and others. Students are given weekly coding assignments and a final project to hone their skills. Recommended for programmers with some background and experience in other languages.
This course is offered during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month.

Electric Circuit Analysis problems for the WeBWorK open online homework system. Includes problems from second-year level (both Circuits I and II), as well as review problems from first-year.

The "tested" problems have been deployed in a class. The "untested" problems have been tested by the creators, but not yet deployed in a class.

These problems need to be uploaded into an instance of WeBWorK to use/assign them.

This course explores the relationships which exist between the performance of electrical, optical, and magnetic devices and the microstructural characteristics of the materials from which they are constructed. The class uses a device-motivated approach which emphasizes emerging technologies. Device applications of physical phenomena are considered, including electrical conductivity and doping, transistors, photodetectors and photovoltaics, luminescence, light emitting diodes, lasers, optical phenomena, photonics, ferromagnetism, and magnetoresistance.