GSU PHYS 2211K - Chapter1 (19 pages)

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Chapter1



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Chapter1

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Pages:
19
School:
Georgia State University
Course:
Phys 2211k - Principles of Physics I
Principles of Physics I Documents

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Coordinate Systems Chapter 3 Vectors and Coordinate Systems Used to describe the position of a point in space Coordinate system consists of a fixed reference point called the origin specific axes with scales and labels instructions on how to label a point relative to the origin and the axes Copyright 2008 Pearson Education Inc publishing as Pearson Addison Wesley Copyright 2008 Pearson Education Inc publishing as Pearson Addison Wesley Cartesian Coordinate System Origin and reference line are noted Point is distance r from the origin in the direction of angle ccw from reference line Points are labeled r Also called rectangular coordinate system x and y axes intersect at the origin Points are labeled x y Copyright 2008 Pearson Education Inc publishing as Pearson Addison Wesley Polar Coordinate System 3 Copyright 2008 Pearson Education Inc publishing as Pearson Addison Wesley 4 Polar to Cartesian Coordinates Cartesian to Polar Coordinates r is the hypotenuse and an angle Based on forming a right triangle from r and x r cos y r sin tan y x r x2 y2 must be ccw from positive x axis for these equations to be valid Copyright 2008 Pearson Education Inc publishing as Pearson Addison Wesley 5 Vectors and Scalars Copyright 2008 Pearson Education Inc publishing as Pearson Addison Wesley 6 Vector Notation A scalar quantity is completely specified by a single value with an appropriate unit and has no direction A vector quantity is completely described by a number and appropriate units plus a direction When handwritten use an arrow r When printed will be in bold print A A When dealing with just the magnitude of a vector in print an italic letter will be used A or A The magnitude of the vector has physical units The magnitude of a vector is always a positive number Copyright 2008 Pearson Education Inc publishing as Pearson Addison Wesley Copyright 2008 Pearson Education Inc publishing as Pearson Addison Wesley Adding Vectors Graphically Continue drawing the vectors tip to tail The



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