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Physics - Polar Coordinates: Describe the locus of points

  1. Aug 15, 2010 #1
    Hi,

    So, I was doing my physics summer work and had no idea what the following question was talking about:

    1. The problem statement, all variables and given/known data

    For the following polar coordinate points:

    (4, 0) (4, 60) (4, 90) (4, 135) (4, 180) (4, 270)

    Describe the locus of points for which

    a) r = 4
    b) r = a

    An image, for reference, can be seen http://img43.imageshack.us/img43/6422/0815002025.jpg [Broken].


    3. The attempt at a solution

    I was thinking that the answer would be merely saying something like (4, 0) (4, 60) (4, 90) (4, 135) (4, 180) (4, 270), because those are all the points at r = 4. But I have no idea. :(

    Thanks for the help!
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Aug 15, 2010 #2

    rl.bhat

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    Homework Helper

    The locus of the points is a circle with center (0, 0) and radius 4.
     
  4. Aug 15, 2010 #3
    Ah, thanks! that makes sense!

    So, then this one here: http://img413.imageshack.us/img413/6007/0815002113.jpg [Broken]

    Would that be a line with like slope ????

    Edit: the second question states: describe the locus of points for which theta = 60 and theta = theta1 (where theta1 is a fixed angle)
     
    Last edited by a moderator: May 4, 2017
  5. Aug 16, 2010 #4

    rl.bhat

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    Yes. It is a straight line.
     
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