Two forces act concurrently on point P. One force is 85 N in a direction 35 degrees north of east. The second 95 N force acting at an angle of 227 degrees, what is the magnitude and direction of the resultant ?

Question

Two forces act concurrently on point P. One force is 85 N in a direction 35 degrees north of east.  The second 95 N force acting at an angle of 227 degrees, what is the magnitude and direction of the resultant ?

Henry · Answer

R = 85N @ 35o + 95N @ 227o.

X = Hor. = 85*cos35+95*cos227=4.84 N.
Y = Ver. = 85*sin35+95*sin227=-20.7 N.

tanA = Y/X = -20.7/4.84 = -4.27856
A = -76.8o,CW = 103.2o,CCW = Direction.
Mag. = X/cosA = 4.84 / cos103.2=21.2 N.

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