Relevant material from MIT's introductory courses to support students as they study and educators as they teach the AP Physics curriculum.

This content is assembled from UC-approved college prep courses and is designed to acquaint students with topics in Newtonian mechanics, including: kinematics, laws of motion, work and energy, systems of particles, momentum, circular motion, oscillations, and gravitation. The course covers two semesters. The first semester includes fluid mechanics, thermal physics, and kinetic theory. The second semester discusses electricity and magnetism, waves and optics, and atomic and nuclear physics. The course emphasizes problem solving and there are numerous interactive examples throughout. Students will gain laboratory experience through interactive lab simulations and wet labs.

This book describes the fundamentals fluid mechanics phenomena for engineers and others. This book is designed to replace all introductory textbook(s) or instructor's notes for the fluid mechanics in undergraduate classes for engineering/science students but also for technical peoples. It is hoped that the book could be used as a reference book for people who have at least some basics knowledge of science areas such as calculus, physics, etc.

This activity is a lab where students gather data on buoyant force and height of and object being submerged in two different types of fluids. The slope of the buoyant force and height is proportional to the density of the fluid. Students compare the densities of the fluids calculated with the actual densities.

Students will design, build and test a hot air balloon of their choosing. Students will construct and test components in order find three component optimum design features for final assembly.

This is an inquiry-based activity in which students will need to work together as a class to solve the following problem: they must construct a "boat" entirely out of modeling clay that is capable of supporting 150 grams of cargo without sinking.

This subject provides an introduction to fluid mechanics. Students are introduced to and become familiar with all relevant physical properties and fundamental laws governing the behavior of fluids and learn how to solve a variety of problems of interest to civil and environmental engineers. While there is a chance to put skills from Calculus and Differential Equations to use in this subject, the emphasis is on physical understanding of why a fluid behaves the way it does. The aim is to make the students think as a fluid. In addition to relating a working knowledge of fluid mechanics, the subject prepares students for higher-level subjects in fluid dynamics.

This course introduces finite element methods for the analysis of solid, structural, fluid, field, and heat transfer problems. Steady-state, transient, and dynamic conditions are considered. Finite element methods and solution procedures for linear and nonlinear analyses are presented using largely physical arguments. The homework and a term project (for graduate students) involve use of the general purpose finite element analysis program ADINA. Applications include finite element analyses, modeling of problems, and interpretation of numerical results.

This course introduces fluid mechanics, the study of how and why fluids (both gaseous and liquid) behave the way they do. Upon successful completion of this course, the student will be able to: Formulate basic equation for fluid engineering problems; Use the Poiseuille equation, Reynolds number correlations, and Moody chart for description of laminar and turbulent pipe flow; Use tables, figures, and energy equations to predict pressure drop in pipes, across fittings and through pumps and turbines; Use tables and figures to determine the friction energy loss; Perform dimensional analysis and identify important parameters; Calculate pressure distributions, forces on surfaces, and buoyancy; Analyze flow situations and use appropriate methods to obtain quantitative information for engineering applications. (Mechanical Engineering 201)

This book deals with an introduction to the flow of compressible substances (gases). The main difference between compressible flow and almost incompressible flow is not the fact that compressibility has to be considered. Rather, the difference is in two phenomena that do not exist in incompressible flow. The first phenomenon is the very sharp discontinuity (jump) in the flow in properties. The second phenomenon is the choking of the flow. Choking is when downstream variations don't effect the flow. Though choking occurs in certain pipe flows in astronomy, there also are situations of choking in general (external) flow. Choking is referred to as the situation where downstream conditions, which are beyond a critical value(s), doesn't affect the flow.

Watch science come alive in demonstrations of magnetic levitation techniques, ways to rig a sailboat, and much more. See video on: Atomic Physics & Quantum Effects; Circular Motion & Rotation; Conductors, Capacitors, Dielectrics; Electric Circuits; Electromagnetism; Electrostatics; Fluid Mechanics; Geometric Optics; Kinematics; Kinetic Theory & Thermodynamics; Magnetic Fields; Newton's Laws of Motion; Oscillations & Gravitation; Physical Optics; Systems of particles, Linear Momentum; Temperature & Heat; Waves; Work, Energy, Power.

This course covers the development of the fundamental equations of fluid mechanics and their simplifications for several areas of marine hydrodynamics and the application of these principles to the solution of engineering problems. Topics include the principles of conservation of mass, momentum and energy, lift and drag forces, laminar and turbulent flows, dimensional analysis, added mass, and linear surface waves, including wave velocities, propagation phenomena, and descriptions of real sea waves. Wave forces on structures are treated in the context of design and basic seakeeping analysis of ships and offshore platforms. Geophysical fluid dynamics will also be addressed including distributions of salinity, temperature, and density; heat balance in the ocean; major ocean circulations and geostrophic flows; and the influence of wind stress. Experimental projects conducted in ocean engineering laboratories illustrating concepts taught in class, including ship resistance and model testing, lift and drag forces on submerged bodies, and vehicle propulsion.

Development of the fundamental equations of fluid mechanics and their simplifications for several areas of marine hydrodynamics. Application of these principles to the solution of ocean engineering problems. Topics include the principles of conservation of mass, momentum and energy; hydrostatic behavior of floating and submerged bodies; lift and drag forces; dimensional analysis; wave forces on ships and offshore platforms; laminar and turbulent flows. Experimental projects conducted in ocean engineering laboratories illustrating concepts taught in class, including ship resistance and model testing, lift and drag forces on submerged bodies, and vehicle propulsion.

Discrepant event used to introduce hydraulics and Pascal's Principle

Selection of material from the following topics: calculus of variations (the first variation and the second variation); integral equations (Volterra equations; Fredholm equations, the Hilbert-Schmidt theorem); the Hilbert Problem and singular integral equations of Cauchy type; Wiener-Hopf Method and partial differential equations; Wiener-Hopf Method and integral equations; group theory.

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This activity is a lab where students design an experiment to construct a self-powered mini-submarine that stays underwater for at least 10 seconds, and then float back up to the top of the water level. Buoyancy and density are applied and discussed.

In this course the fundamentals of fluid mechanics are developed in the context of naval architecture and ocean science and engineering. The various topics covered are: Transport theorem and conservation principles, Navier-Stokes' equation, dimensional analysis, ideal and potential flows, vorticity and Kelvin's theorem, hydrodynamic forces in potential flow, D'Alembert's paradox, added-mass, slender-body theory, viscous-fluid flow, laminar and turbulent boundary layers, model testing, scaling laws, application of potential theory to surface waves, energy transport, wave/body forces, linearized theory of lifting surfaces, and experimental project in the towing tank or propeller tunnel.

The fundamentals of fluid mechanics are developed in the context of naval architecture and ocean science and engineering. Transport theorem and conservation principles. Navier-Stokes' equation. Dimensional analysis. Ideal and potential flows. Vorticity and Kelvin's theorem. Hydrodynamic forces in potential flow, D'Alembert's paradox, added-mass, slender-body theory. Viscous-fluid flow, laminar and turbulent boundary layers. Model testing, scaling laws. Application of potential theory to surface waves, energy transport, wave/body forces. Linearized theory of lifting surfaces. Experimental project in the towing tank or propeller tunnel.