Question
Two forces A and B act at a point O. A=30 N at 60 degree and B= 40 N at 120 degree, relative to x-axis. Calculate the magnitude and direction of the resultant force using the method of perpendicular components.
Answers
Damon
Fx = 30 cos 60 - 40 cos 60
Fy = 30 sin 60 + 40 sin 60
F = sqrt (Fx^2 + Fy^2)
Tan theta = Fy/Fx
Note - Theta is in quadrant 2 because 40>30
Use 180 - the magnitude of the angle
Fy = 30 sin 60 + 40 sin 60
F = sqrt (Fx^2 + Fy^2)
Tan theta = Fy/Fx
Note - Theta is in quadrant 2 because 40>30
Use 180 - the magnitude of the angle