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Homework Help: Relationship between two coordinate systems.

  1. Aug 24, 2012 #1
    1. The problem statement, all variables and given/known data
    http://img15.imageshack.us/img15/1671/capturetwy.png [Broken]

    3. The attempt at a solution
    Could someone please explain what is meant by "if v is constrained to 0"? Also how do you find a relationship between two axis of different coordinate systems? I really have no clue where to start.

    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Aug 25, 2012 #2
    Do you know how to find the coordinates of a vector with respect to an arbitrary system?

    They're saying to constrain the v coordinate to zero.
  4. Aug 25, 2012 #3


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    Science Advisor

    'v is constrained to 0' means that we are on the u-axis. That's true because they are only asking for the value of u. Note that the origin of the u, v coordinate system is at (x, y)= (6, 3). Dropping a perpendicular from a point on the u axis, that is from (u, 0), to the line x= 6 gives a right triangle with hypotenuse of length u, 'near side' of length y- 3, and 'opposite side' of length 6- x.

    The standard trig definitions of sine and cosine give sin(35)= (6-x)/u and cos(35)= (y- 3)/u.
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