Courses tagged with "Taking derivatives" (26)

You may think at first that the words “fluid” and “mechanics” should not go together.  However, the ways in which fluids (gases and liquids and a few other materials) respond to forces, exert forces, and move from one place to another (their mechanics) are crucially important to many aspects of our experience and our ability to build tools. Consider, for example, the following areas in which fluid mechanics play an important, if not fundamental, role: Meteorology and ocean dynamics (tsunamis, hurricanes, and tornados) Fluid flow within living systems (blood flow, lymph flow, air flow) Hydraulic machinery (jacks, pumps, lifts, steering mechanisms) Chemical processing and piping (pumps, reactors, separators, pipelines) Turbomachinery (jet engines, power plants) Aeronautical and ship machinery (airplanes, helicopters, boats and ships) In this course you will first learn about the definition of a fluid and the properties of a fluid, such as density, compressibility, and viscosity.  You wil…

This course will ask you to apply the knowledge you have acquired over the course of the entire mechanical engineering curriculum.  It draws upon what you have learned in your courses in mechanics, CAD, materials and processing, thermal and fluid systems, and dynamics and control, just to name a few.  This course is equivalent to the capstone course or senior design project that you would need to complete as a senior in a mechanical engineering program in a traditional American university setting. This course begins in Unit 1 by introducing you to the stages of the design process.  We will then focus on tools and skill sets that are particularly important for succeeding in a design project, including design planning, teamwork skills, project management, and design reporting. Unit 2 covers important design principles and considerations.  You will learn about economic implications (you must keep cost in mind while designing!), the ethical, societal, and environmental impacts of design decisions, and pro…

This course will survey physics concepts and their respective applications.  It is intended as a basic introduction to the current physical understanding of our universe.  Originally part of “Natural Philosophy,” the first scientific studies were conducted after Thales of Miletus established a rational basis for the understanding of natural phenomena circa 600 BCE.  One of the Seven Sages of Greek philosophy, Thales sought to identify the substances that make up the natural world and explain how they produce the physical phenomena we observe.  Prior to Thales, humans had explained events by attributing supernatural causes to them; his work represents the very beginning of scientific analysis. The Scientific Method used today builds on this early foundation, but adds the essential underpinnings of evidence based on experiments or observation.  Briefly, the modern scientific method involves forming a hypothesis about the cause of a general phenomenon, using that hypothetical model to predict the outc…

The study of dynamic systems focuses on the behavior of physical systems as well as the physics of individual components and the interactions between them.  Control systems are designed to enable dynamic systems to respond in a specific manner.  In this course, we will learn about the mathematical modeling, analysis, and control of physical systems that are in rest, in motion, or acted upon by a force. Dynamic systems can be mechanical, electrical, thermal, hydraulic, pneumatic, or any combination thereof.  An electrical motor is a good example of a dynamic system in which electricity is used to drive the motor’s mechanical movement.  The operation of the motor is controlled by altering the electric current or voltage.  Another good example is a car’s suspension system, which is designed to curb abnormal vibrations while riding on a bumpy road.  In order to design a suspension system, you must analyze the mathematical equations of the physics of the suspension and its response (i.e. how effectivel…

This course will introduce you to the field of mechanical engineering and the relationships between physics, mathematics, communications, and sciences which inform the study, design, and manufacture of mechanical products and systems.  The course is divided into four units.  In the first unit, you will learn how mechanical engineering is broadly defined, what mechanical engineers do, and what technical capabilities they have.  We will also review some basic principles from mathematics and physics that you will apply in any discipline of engineering.  In the second unit, you will learn about the ethical considerations and technical communication skills necessary for engineering work.  You will revisit these issues in more detail in several courses within the Mechanical Engineering curriculum.  The third unit focuses on computational tools for engineering problems.  In Unit 3 you will learn about a specific open source computational environment (Scilab) and the application of that environment to some com…

CAD, or computer-aided design, is a powerful modeling tool that technical professionals use.  With CAD, architects can draw up building plans and engineers can develop component and system designs.  Some CAD programs even allow users to perform stress analysis, demonstrating how well a proposed structure will fare when put to use.  For example, when does a load become too big?  How much weight can be put onto a bridge before it becomes structurally unsound?  Using CAD, professionals can create precise engineering drawings in both 2- and 3-D, complete with dimensions and specifications, in a neat and readable format.  This modeling method has taken design to a whole new level of efficiency and accuracy. We are fortunate to be engineers working in the current eraone of computers, technology, and ease of precision.  Without CAD, we would have to draft (or draw up) design blueprints by hand, which can be tedious and time-consuming.  With CAD, however, we can generate accurate 2-D and 3-D drawings, scale…