Determine the magnitude of the resultant force FRF1F2 Assume

Determine the magnitude of the resultant force FR=F1+F2. Assume that F1 = 230 lband F2 = 360 lb .

Determine the direction of the resultant force FR, measured counterclockwise from the positive x axis.

Solution

Lets write both vector

F1 = 230*sin 30 x + 230*cos 30 y

= 115 x + 199 y

F2 = 360*cos 45 x - 360*sin 45 y

= 255 x - 255 y

Fnet = F1 + F2

= 115 x + 199 y + 255 x - 255 y

= 370 x - 56 y

FR = sqrt(370^2 + (-56)^2)

= 374 lb

angle = 270 + atan (370/56)

= 270 + 81.4

= 351 degree

Answer:

374 lb

351 degree