Using a graphical method of getting resultant vectors, find the resultant of the following vectors: 8N along the positive X-axis and 6N making an angle of 45 degrees with the positive X-axis and 10N -20 degrees below West.

Question

Using a graphical method of getting resultant vectors, find the resultant of the following vectors: 8N along the positive X-axis and 6N making an angle of 45 degrees  with the positive X-axis and 10N -20 degrees below West.

Henry · Accepted Answer

Fr = 8N[0o] + 6N{45o] + 10N[200o].
Fr = 8 + (6*Cos45+i6*sin45) + (10*cos200+i10*sin200),
Fr = 8 + (4.24+4.24i) + (-9.40-3.42i),
Fr = 2.84 + 0.82i = 2.96N[16.1o]. = Resultant force.

16.1o Above +x-axis.