# Math Help - Two Forces Acting at a Point

1. ## Two Forces Acting at a Point

Two forces, $\vec F_1$ and , $\vec F_2$ act at a point, as shown in the picture. $\vec F_1$ has a magnitude of 8.00 $N$ and is directed at an angle of $\alpha$ = 60.0 degree's above the negative x axis in the second quadrant. $\vec F_2$ has a magnitude of 6.60 $N$ and is directed at an angle of $\beta$ = 52.9 degrees below the negative x axis in the third quadrant.

1. What is the x component $F_x$ of the resultant force?

$F_x$ = _______________ $Newtons$

2. What is the y component $F_y$ of the resultant force?

$F_y$ = _______________ $Newtons$

3. What is the magnitude $F$of the resultant force?

$F$ = _______________ $Newtons$

4. What is the angle $\gamma$ that the resultant force forms with the negative x axis? In this problem, assume that positive angles are measured clockwise from the negative $x$ axis.

$\gamma$ = _______________ $Degrees$

2. ## Get components

Use trig to get the x component of each force. Then add them up. That get's you the x component of the resultant. Do the same for the y component. At the end, you have the x and y components of the resultant