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Three forces act on a hook attached to the horizontal ground. The hook is at the origin of the x y plane. The x axis

Three forces act on a hook attached to the horizontal ground. The hook is at the origin of the x y plane. The x axis points horizontally to the right. The y axis points vertically upward. Force F subscript 1 ?is directed upward and to the left. The angle it makes with the negative x axis is an angle of a right triangle with a hypotenuse of 5, ?a leg adjacent to this angle of 4, ?and an opposite leg of 3. ?Force F subscript 2 ?is directed upward and to the right, making an angle of 30 ?degrees with the positive x axis. Force F subscript 3 ?is directed along the positive x axis.

Determine the magnitude of the resultant force.

Express your answer to three significant figures and include the appropriate units.

image

F 4 5 30 F F3 -X

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