part 2 of 3In 3d, we may extend this idea to cylindricalcoordinates (r, o, z), which you may think ofas a plane polar coordinate system with thez-dimension tacked on.(r, 6,2)yThis coordinate system is useful when deal-ing with problems that have radial symmetryabout some central axis.Question: You are given a hollow cylinderof radius R whose central axis is the z-axisand whose base rests on the xy-plane. Whatare the Cartesian coordinates of an arbitrarypoint on the surface of the cylinder in termsof cylindrical quantities?1. (x² + y², tan¯Y¹(²-)..Т2. (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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Answered: y extend this idea to cylindrical o,…

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

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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Question

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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