Determine the magnitude of the resultant force and its direc
Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. Set F = 30 kN.
Solution
Horizontal components :
20cos(36.86) rightward
30cos(45) leftward
Equivalent horizontal = 5.21113 leftward
Vertical components :
12 kn downward
30sin(45) upward
20sin(36.86) upward
Equivalent vertical = 242.5 upward
Resultant force = sqrt(5.21113^2 + 242.5^2) = 242.555 kN
Angle : theta = taninverse(242.5/5.21113) = 88.77 degrees + 180 = 268.77 degrees
