Calc 3

Two ropes are attached to the bumper of a car. Rope A is pulled with a force of 60 pounds at an
angle of 30° to the horizontal ground, and rope B is pulled with a force of 80 pounds at an angle of
15° to the horizontal ground. The same effect can be produced by a single rope pulling with what
force and at what angle to the ground?

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  1. horizontal
    xf = 60 cos 30 + 80 cos 15
    vertical
    yf = 60 sin 30 + 80 sin 15

    |F| = sqrt (xf^2 + yf^2)
    tan angle up = yf/xf

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