Theoretical topics of fluid dynamics relevant to natural phenomena or man-made hazards in water and atmosphere. Basic law of fluid motion. Scaling and approximations. Slow flows, with applications to drag on a particle and mud flow on a slope. Boundary layers: jets and plumes in pure fluids or in porous media. Thermal and buoyancy effects, selective withdrawal and internal waves. Transient boundary layers in impulsive flows or waves. Induced streaming and mass transport. Dispersion in steady flows or in waves. Effects of earth rotation on coastal flows. Wind induced flow in shallow seas. Stratified seas and coastal upwelling.

This undergraduate course builds upon the dynamics content of Unified Engineering, a sophomore course taught in the Department of Aeronautics and Astronautics at MIT. Vector kinematics are applied to translation and rotation of rigid bodies. Newtonian and Lagrangian methods are used to formulate and solve equations of motion. Additional numerical methods are presented for solving rigid body dynamics problems. Examples and problems describe applications to aircraft flight dynamics and spacecraft attitude dynamics.

Biomechanics problems for the WeBWorK open online homework system. Includes problems from basic dynamics, statics and mechanics of materials.

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 subject deals primarily with kinetic and equilibrium mathematical models of biomolecular interactions, as well as the application of these quantitative analyses to biological problems across a wide range of levels of organization, from individual molecular interactions to populations of cells.

Students create a class composition of a thunderstorm by exploring expressive qualities of crescendo/decrescendo and accelerando/ritardando

Students create different versions of a known song and listen to contrasting recordings for musical differences and similarities.

16.225 is a graduate level course on Computational Mechanics of Materials. The primary focus of this course is on the teaching of state-of-the-art numerical methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered in this course includes: linear and finite deformation elasticity, inelasticity and dynamics. Numerical formulation and algorithms include: variational formulation and variational constitutive updates, finite element discretization, error estimation, constrained problems, time integration algorithms and convergence analysis. There is a strong emphasis on the (parallel) computer implementation of algorithms in programming assignments. The application to real engineering applications and problems in engineering science is stressed throughout the course.

This course focuses on laws, approximations and relations of continuum electromechanics. Topics include mechanical and electromechanical transfer relations, statics and dynamics of electromechanical systems having a static equilibrium, electromechanical flows, and field coupling with thermal and molecular diffusion. Also covered are electrokinetics, streaming interactions, application to materials processing, magnetohydrodynamic and electrohydrodynamic pumps and generators, ferrohydrodynamics, physiochemical systems, heat transfer, continuum feedback control, electron beam devices, and plasma dynamics.
Acknowledgements
The instructor would like to thank Xuancheng Shao and Anyang Hou for transcribing into LaTeX the problem set solutions and exam solutions, respectively.

This is an informative lesson on how our brains relate to music, Using our abilities, we can take simple fundamentals and create anything from simple melodies to something mor complex. Students will be able to follow the videos to understand why we are able to do this, and can create their own compositions.

Students play an identification game of hot and cold using their voices and dynamics.

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.

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.

Description Subject: General MusicGrade: 1st grade, 2nd gradeOverview: Students will explore dynamics in music through listening, singing, and moving.Standards: South Carolina College- and Career-Ready Standards for General Music ProficiencyAnchor Standard 6: I can analyze music.Benchmark GM.R NM.6- I can identify the elements of music.Indicator- GM.R NM 6.1- I can identify changes in dynamics, tempo, and rhythm.Material type: Lesson plan, activity/lab, assessment, rubric 

Description Subject: General MusicGrade: 1st grade, 2nd gradeOverview: Students will explore dynamics in music through listening, singing, and moving.Standards: South Carolina College- and Career-Ready Standards for General Music ProficiencyAnchor Standard 6: I can analyze music.Benchmark GM.R NM.6- I can identify the elements of music.Indicator- GM.R NM 6.1- I can identify changes in dynamics, tempo, and rhythm.Material type: Lesson plan, activity/lab, assessment, rubric 

Students discover fluid dynamics related to buoyancy through experimentation and optional photography. Using one set of fluids, they make light fluids rise through denser fluids. Using another set, they make dense fluids sink through a lighter fluid. In both cases, they see and record beautiful fluid motion. Activities are also suitable as class demonstrations. The natural beauty of fluid flow opens the door to seeing the beauty of physics in general.

This class provides students with an introduction to principal concepts and methods of fluid mechanics. Topics covered in the course include pressure, hydrostatics, and buoyancy; open systems and control volume analysis; mass conservation and momentum conservation for moving fluids; viscous fluid flows, flow through pipes; dimensional analysis; boundary layers, and lift and drag on objects. Students will work to formulate the models necessary to study, analyze, and design fluid systems through the application of these concepts, and to develop the problem-solving skills essential to good engineering practice of fluid mechanics in practical applications.

Explore the forces at work when you try to push a filing cabinet. Create an applied force and see the resulting friction force and total force acting on the cabinet. Charts show the forces, position, velocity, and acceleration vs. time. View a Free Body Diagram of all the forces (including gravitational and normal forces).

Explore the forces at work when you try to push a filing cabinet. Create an applied force and see the resulting friction force and total force acting on the cabinet. Charts show the forces, position, velocity, and acceleration vs. time. View a Free Body Diagram of all the forces (including gravitational and normal forces).