Abstract: Boundary layers as rational approximations to the solutions of exact equations of fluid motion. Physical parameters influencing laminar and turbulent aerodynamic flows and transition. Effects of compressibility, heat conduction, and frame rotation. Influence of boundary layers on outer potential flow and associated stall and drag mechanisms. Numerical solution techniques and exercises. The major focus of 16.13 is on boundary layers, and boundary layer theory subject to various flow assumptions, such as compressibility, turbulence, dimensionality, and heat transfer. Parameters influencing aerodynamic flows and transition and influence of boundary layers on outer potential flow are presented, along with associated stall and drag mechanisms. Numerical solution techniques and exercises are included.
Abstract: Students examine how different balls react when colliding with different surfaces, giving plenty of opportunity for them to see the difference between elastic and inelastic collisions, learn how to calculate momentum, and understand the principle of conservation of momentum.
Abstract: In this activity, students examine how different balls react when colliding with different surfaces. Also, they will have plenty of opportunity to learn how to calculate momentum and understand the principle of conservation of momentum.
Abstract: As a continuation of the theme of potential and kinetic energy, this lesson introduces the concepts of momentum, elastic and inelastic collisions. Many sports and games, such as baseball and ping-pong, illustrate the ideas of momentum and collisions. Students explore these concepts by bouncing assorted balls on different surfaces and calculating the momentum for each ball.
Abstract: Students learn about the physical force of linear momentum movement in a straight line by investigating collisions. They learn an equation that engineers use to describe momentum. Students also investigate the psychological phenomenon of momentum; they see how the "big mo" of the bandwagon effect contributes to the development of fads and manias, and how modern technology and mass media accelerate and intensify the effect.
Abstract: By taking a look at the energy of motion all around us, students learn about the types of energy and their characteristics. They first learn about the two simplest forms of mechanical energy: kinetic and potential energy, as illustrated by pendulums and roller coasters. They come to understand that energy can change from one form into another, and be described and determined by equations. Through the example of a waterwheel, the concepts of and differences between work and power are explained and calculated. Conservation of momentum and collisions are explored, with analogies to popular sports (billiards, baseball, golf), and how elastic and inelastic collisions are considered in the games' design. To show another energy transformation concept, the behavior of energy dissipating into heat by means of friction is presented. Students learn to recognize static friction, kinetic friction and drag, how they work, and how to calculate frictional force. A final lesson integrates the energy of motion concepts, showing how they are interconnected in everyday applications such as skateboards, scooters, roller coasters, trains, cars, planes, trucks and elevators. Through numerous hands-on activities, students swing pendulums, use plastic two-liter bottles to construct model waterwheels, bounce different types of balls, use weights to generate friction data, and roll balls down ramps to collide into cups.
Abstract: This course provides a thorough introduction to the principles and methods of physics for students who have good preparation in physics and mathematics. Emphasis is placed on problem solving and quantitative reasoning. This course covers Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves.
Abstract: The EJS Inelastic Collision of Particles with Structure model displays the inelastic collision between two equal "particles" with structure on a smooth horizontal surface. Each particle has two microscopic elements which interact through a massless spring of stiffness k and natural length L. The mass of one of the microscopic elements and the spring length of the connector spring can be changed via textboxes. You can modify this simulation if you have EJS installed by right-clicking within the plot and selecting "Open EJS Model" from the pop-up menu item.
Abstract: Introduction to classical mechanics (see description under 8.01). Material is covered over a longer interval, so that the subject is completed by the end of the Independent Activities Period. During the first month of classes, substantial emphasis is given to reviewing and strengthening pre-calculus mathematics, basic physics concepts, and problem-solving skills. Delay in the use of calculus permits students more exposure to 18.01 before the material is used in the physics. Overall content, depth, and difficulty is otherwise identical to that of 8.01. Students receive credit for 8.01 on their transcripts. Credit cannot also be received for 8.012 or 8.01X.
Abstract: On the topic of energy related to motion, this summary lesson is intended to tie together the concepts introduced in the previous four lessons and show how the concepts are interconnected in everyday applications. A hands-on activity demonstrates this idea and reinforces students' math skills in calculating energy, momentum and frictional forces.