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Coulomb's Law and net force

  1. Jan 29, 2008 #1
    1. The problem statement, all variables and given/known data

    Particles 2 and 4, of charge -e, are fixed in place on the y axis at y2=-10.00 cm and y4=5.00cm. Particles 1 and 3, of charge -e, can be moved along the x axis. Particle 5 of charge +e is fixed at the origin. Initially particle 1 is at x1= -10.0cm and particle 3 is at x3= 10.0cm. (a) to what x value must particle 1 be moved to rotate the direction of the net electric force Fnet on particle 5 by 30 degrees counterclockwise? (b) With particle 1 fixed at the new position, to what x value must you move particle 3 to rotate Fnet back to its original position?

    2. Relevant equations


    3. The attempt at a solution

    I have found the individual forces and the net force in vector notation, but can't seem to see the way to handle the rotation. I knowwhat the correct answer is but not how to get there.
  2. jcsd
  3. Feb 3, 2008 #2

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    If a 2-d vector xi + yj is rotated by an angle ‘b’ in the counter clockwise direction keeping the magnitude constant, then the new vector is given by:

    (xcos b - ysin b)i + (xsin b + ycos b)j.

    This should solve your problem.
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