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Homework Statement
The surface is described by the equation ## (r-2)^2 + z^2 = 1 ## in cylindrical coordinates. Assume ## r ≥ 0 ##.
a) Sketch the intersection of this surface with the half plane ## θ= π/2 ##
Homework Equations
## r= psin φ ##
## p^2 = r^2 + z^2 ##
The Attempt at a Solution
First off, I'm new to cylindrical coordinates, so I don't really know how to work with equations given in these coordinates. Following the few examples given in my textbook, I tried to convert this equation into another involving Cartesian or spherical coordinates. I converted to spherical ones. The result I got was:
## p^2 =4p sinφ -3 ##
The term ## 4p sinφ## is giving me a problem because I don't know how to express the equation in terms of p only. I can't factorise, etc.
Am I starting in the right way at all? Any hints on how to proceed? Thanks.