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).

Explore the forces at work in a tug of war or pushing a refrigerator, crate, or person. Create an applied force and see how it makes objects move. Change friction and see how it affects the motion of objects.

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).

Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare different mathematical expressions for your waves.

Are you interested in investigating how nature engineers itself? How engineers copy the shapes found in nature ("biomimetics")? This Freshman Seminar investigates why similar shapes occur in so many natural things and how physics changes the shape of nature. Why are things in nature shaped the way they are? How do birds fly? Why do bird nests look the way they do? How do woodpeckers peck? Why can't trees grow taller than they are? Why is grass skinny and hollow? What is the wood science behind musical instruments? Questions such as these are the subject of biomimetic research and they have been the focus of investigation in this course for the past three years.

Learn how friction causes a material to heat up and melt. Rub two objects together and they heat up. When one reaches the melting temperature, particles break free as the material melts away.

Learn how friction causes a material to heat up and melt. Rub two objects together and they heat up. When one reaches the melting temperature, particles break free as the material melts away. Arabic Language.

Pump gas molecules to a box and see what happens as you change the volume, add or remove heat, change gravity, and more. Measure the temperature and pressure, and discover how the properties of the gas vary in relation to each other.

This is a textbook on general relativity for upper-division undergraduates majoring in physics, at roughly the same level as Rindler's Essential Relativity or Hartle's Gravity. The book is meant to be especially well adapted for self-study, and answers are given in the back of the book for almost all the problems. The ratio of conceptual to mathematical problems is higher than in most books. The focus is on "index-gymnastics" techniques, to the exclusion of index-free notation. Knowledge of first-year calculus and lower-division mechanics and electromagnetism is assumed. Special relativity is introduced from scratch, but it will be very helpful to have a thorough previous knowledge of SR, at the level of a book such as Taylor and Wheeler's Spacetime Physics or my own text Special Relativity.

Generate electricity with a bar magnet! Discover the physics behind the phenomena by exploring magnets and how you can use them to make a bulb light.

How does a lens form an image? See how light rays are refracted by a lens. Watch how the image changes when you adjust the focal length of the lens, move the object, move the lens, or move the screen.

Visualize the gravitational force that two objects exert on each other. Change properties of the objects in order to see how it changes the gravity force.

Visualize the gravitational force that two objects exert on each other. Change properties of the objects in order to see how it changes the gravity force.

Move the sun, earth, moon and space station to see how it affects their gravitational forces and orbital paths. Visualize the sizes and distances between different heavenly bodies, and turn off gravity to see what would happen without it!

Move the sun, earth, moon and space station to see how it affects their gravitational forces and orbital paths. Visualize the sizes and distances between different heavenly bodies, and turn off gravity to see what would happen without it!

How do greenhouse gases affect the climate? Explore the atmosphere during the ice age and today. What happens when you add clouds? Change the greenhouse gas concentration and see how the temperature changes. Then compare to the effect of glass panes. Zoom in and see how light interacts with molecules. Do all atmospheric gases contribute to the greenhouse effect?

The physics of microelectronic semiconductor devices for silicon integrated circuit applications. Topics: semiconductor fundamentals, p-n junction, metal-oxide semiconductor structure, metal-semiconductor junction, MOS field-effect transistor, and bipolar junction transistor. Emphasis on physical understanding of device operation through energy band diagrams and short-channel MOSFET device design. Issues in modern device scaling outlined. Includes device characterization projects and device design project.

This course is an interdisciplinary exploration of three broad topics concerning music in relation to time.Music as Architecture: the creation of musical shapes in time;Music as Memory: how musical understanding depends upon memory and reminiscence, with attention to analysis of musical structures; andTime as the Substance of Music: how different disciplines such as philosophy and neuroscience view the temporal dimension of musical processes and/or performances.Classroom discussion of these topics is complemented by three weekend concerts with pre-concert forums, jointly presented by the Boston Chamber Music Society (BCMS) and MIT Music & Theater Arts.