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y extend this idea to cylindrical o, z), which you may think of ar coordinate system with the cked on.

y extend this idea to cylindrical o, z), which you may think of ar coordinate system with the cked on.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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part 2 of 3 In 3d, we may extend this idea to cylindrical coordinates (r, o, z), which you may think of as a plane polar coordinate system with the z-dimension tacked on. (r, 6,2) y This coordinate system is useful when deal- ing with problems that have radial symmetry about some central axis. Question: You are given a hollow cylinder of radius R whose central axis is the z-axis and whose base rests on the xy-plane. What are the Cartesian coordinates of an arbitrary point on the surface of the cylinder in terms of cylindrical quantities? 1. (x² + y², tan¯ Y ¹(²-).. Т 2. (R cos o, R sin o, z) ○ 3. (x, y, z) ○ 4. (R, o, z) 5. (x cos o, y sin o, z) O 6. (R sin o, R cos , z)
Transcribed Image Text:part 2 of 3 In 3d, we may extend this idea to cylindrical coordinates (r, o, z), which you may think of as a plane polar coordinate system with the z-dimension tacked on. (r, 6,2) y This coordinate system is useful when deal- ing with problems that have radial symmetry about some central axis. Question: You are given a hollow cylinder of radius R whose central axis is the z-axis and whose base rests on the xy-plane. What are the Cartesian coordinates of an arbitrary point on the surface of the cylinder in terms of cylindrical quantities? 1. (x² + y², tan¯ Y ¹(²-).. Т 2. (R cos o, R sin o, z) ○ 3. (x, y, z) ○ 4. (R, o, z) 5. (x cos o, y sin o, z) O 6. (R sin o, R cos , z)
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