Answer:
The question is incomplete. The complete question is attached as an image and explanation is provided below.
Explanation:
Parallelogram Law for Vector Addition:
If a force F is to be resolved into components along two axes b and c, then start at the head of force F and construct lines parallel to the axes, eventually forming a parallelogram. The sides of this parallelogram becomes Fb and Fc
We have to find the component of force [tex]F_{AB}[/tex] and [tex]F_{AC}[/tex] exerted at point A in the diagram.
We can use law of sines as illustrated in the diagram.
To find [tex]F_{AB}[/tex]
[tex]\frac{F_{AB}}{sin60} =\frac{500}{sin75}[/tex]
[tex]{F_{AB} =\frac{500}{sin75}sin60[/tex]
[tex]{F_{AB} =\frac{500}{0.965}0.866[/tex]
[tex]F_{AB}=448.7 N[/tex]
To find [tex]F_{AC}[/tex]
[tex]\frac{F_{AC}}{sin45} =\frac{500}{sin75}[/tex]
[tex]F_{AC} =\frac{500}{sin75}sin45[/tex]
[tex]F_{AC} =\frac{500}{0.965}0.7071[/tex]
[tex]F_{AC}=366.3 N[/tex]
