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

Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. Set F = 30 kN.SolutionHorizontal components

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