Chapter 2 Reading Notes
Chapter 2 Reading Notes PHSX 205-001
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This 2 page Class Notes was uploaded by Rebeka Jones on Monday September 19, 2016. The Class Notes belongs to PHSX 205-001 at Montana State University taught by Dr. Greg Francis in Fall 2016. Since its upload, it has received 5 views.
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Date Created: 09/19/16
Chapter 3: Vectors Principle of superposition If a body is subject to two or more separate influences, each providing a characteristic type of motion, it responds to each without modifying its response to the other. Vector quantities are those that have both magnitude and direction. They are not completely specified until both the magnitude (how far) and the direction (degrees of where) are given. –displacement, velocity, force *things that do not have a direction and things that are completely described with a signal number are called scalars Example: Temperature Vectors are denoted with a letter that has an arrow drawn over it. The same letter without the arrow will represent the magnitude of the vector. *a negative vector is just in the opposite direction. Vectors added up are called the resultant *adding vectors is not the same as adding scalars When multiplying a vector, you are simply making a vector that many times longer. The magnitude changes not direction. If we start with two vectors we can find δ???? graphically by moving one of the vectors so that it is heel to heel with the other vector and then compare the two. So, the way to think of the difference vector is that it is the vector that must be added to the initial vector to turn it into the final velocity vector. You can also add the inverse vector (it is the same length as the original vec tor just points in the opposite direction) h o Θ a The tangent of the angle Θ is defined as the ratio of the opposite side to the adjacent side. Then take the inverse tangent function. There are two ways to write a vector. We can specify a single direction and measure angle from that direction and we can write t he magnitude and angle in curly brackets. Or we can choose two mutually perpendicular directions and then write the components of the vector in these direction in parentheses A vector does not have an absolute direction angle or an absolute set of components. It only has a direction angle or components after a particular choice of the orientation of the axis have been made Chapter Formulas Formulas for right triangle are: ℎ = ???? + ???? and sin???? = cos???? = ▯ ▯ ▯ tan???? = ????ℎ???????? ???? = ℎ sin???? ???? = ℎ cos???? ???? = ???? tan???? ▯ ▯ 2
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