Physics 9HA introduces general principles and analytical methods used in classical mechanics primarily for physics and applied physics majors, though it is also a good fit for engineering students that have a special affinity for physics and are looking for a more challenging first course in physics.
- The most fundamental concept in physics is motion. Here we will examine motion progressing from its simplest manifestation to more advanced forms, growing our mathematical toolbox along the way.
- Our study of motion was an examination taught us about the results of actions. We now begin our exploration of what causes various types of motion.
- Using Newton's laws to solve every problem in mechanics can be quite cumbersome. Some problems don't require the degree of detail that force analysis gives, which makes it possible to develop and use shortcuts to their solutions. In our search for such a shortcut, we end up encountering one of the most fundamental and profound principles in all of physics.
- We continue our search for shortcuts to solving problems for which the direct use of Newton's laws are inconvenient. In the case work/energy, we found such a shortcut using Newton's 2nd Law, limiting it to the direction of motion. Here we turn to Newton's 3rd Law for inspiration, and encounter another important conservation principle.
- Up to this point, we have treated objects as points whose motion is limited to translation through space. We now extend our analysis to extended rigid objects that can rotate around a fixed point.
- We have already seen that whatever we did for linear motion can be expanded to rotational motion. A particularly useful and interesting application of this is angular momentum, which – you guessed it – also comes with an important conservation law.
- With the fundamentals of classical mechanics firmly in hand, we employ the tools we have developed to the most celebrated of the fundamental forces, following in the footsteps of Kepler and Newton.
- All around us we see examples of restoring forces. Such forces naturally result in motion that is oscillatory. We will look at what these physical systems have in common.
- The whole idea of the study of physics is to understand how the universe operates. We cannot actually ever know for sure how this works, but we play a sort of game: We develop a model that explains why things happen the way they do, and then we test the effectiveness of that model when it comes to predicting how other things will unfold. If the model predicts accurately, it is a “good” model, and if it doesn’t, it is discarded.