Answer:
The x component of the x axis is:
[tex]F_x = F_1\cos(30)=5\cos(30)= 4.33 u[/tex]
The y component of the y axis is: [tex]F_y =F_2+ F_1\sin(30)=6.00+5\sin(30)= 8.50 u[/tex]
The magnitude is given by: [tex]F = \sqrt{F_x+F_y}= 9.54 u[/tex]
The direction is given by: [tex]\theta = \tan^{-1}\frac{F_y}{F_x}= 63.0 ^\circ[/tex]
See the graphical magnitude and direction below.
Explanation:
The x component of the x axis is:
[tex]F_x = F_1\cos(30)=5\cos(30)= 4.33 u[/tex]
The y component of the y axis is: [tex]F_y =F_2+ F_1\sin(30)=6.00+5\sin(30)= 8.50 u[/tex]
The magnitude is given by: [tex]F = \sqrt{F_x+F_y}= 9.54 u[/tex]
The direction is given by: [tex]\theta = \tan^{-1}\frac{F_y}{F_x}= 63.0 ^\circ[/tex]
