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Math Help - Somewhat difficult question.

  1. #1
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    Somewhat difficult question.

    A stick of length 4 pivots counterclockwise around the origin of R2 at a rate of one revolution per second. A smaller stick of length 2 is attached to the end of the larger stick, and pivots counterclockwise around that point at a rate of two revolutions per second. Assuming that both sticks point in the positive x direction at time t=0, express the curve drawn by the end of the second stick in terms of the parameter t of time measure in seconds.
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  2. #2
    Senior Member vincisonfire's Avatar
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    Reply

    You know that the angle done by the 4 stick (say theta) will always be half the angle done by the 2 stick (say 2 theta).
    x = x center of circle + x position will respect to center of cercle
    x = 4 cos(theta) + 2 cos(2 theta)
    y = y center of circle + y position will respect to center of cercle
    y = 4 sin(theta) + 2 sin(2 theta)
    Do drawing it will help you.
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