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.

Transcribed Image Text:

F 4 5 30 F F3 -X F 4 5 30 F F3 -X