In this lesson our instructor talks about multiple dimensions. First he discusses Newton's 2nd law in multiple dimensions. Then he talks about components, special forces, and normal forces. Three complete example problems round up this lesson.
With force in multiple dimensions, we switch to using vectors:
(m ·ax, m ·ay).
We work with each component of the force vector separately. That also means we can break a force vector into its component vectors.
The normal force is called normal because that means (in math-speak) "perpendicular". A surface can not resist force that is parallel to it.
If something is on an incline, the portion of gravity that is perpendicular to the surface is cancelled out, but the portion of gravity that is parallel is not.
Be careful when figuring out how much of the force is parallel! It is very easy to make a mistake and put an angle in the wrong place. Make a diagram and think carefully.
Newton's 2nd Law: Multiple Dimensions
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.
This book includes a set of features such as Analyzing-Multiple-Concept Problems, Check Your Understanding, Concepts & Calculations, and Concepts at a Glance. This helps the reader to first identify the physics concepts, then associate the appropriate mathematical equations, and finally to work out an algebraic solution.