Vector V1 is 6N along the negative axis. Vector V2 is 4.5 N and point 45 degrees north of the x axis. Find the x and y components of each vector and find the resultant R=V1+V2with the components.
V1 = 6N[180o]
X1 = -6N
Y1 = 0
V2 = 4.5N[45o]
X2 = 4.5*cos45 = 3.18 N.
Y2 = 4.5*sin45 = 3.18 N.
X = X1 + X2 = -6 + 3.18 = -2.82 N.
Y = Y1 + Y2 = 0 + 3.18 = 3.18 N.
tan Ar = Y/X = 3.18/-2.82 = -1.12766
Ar = -48.43o = Reference angle.
A = -48.43 + 180 = 131.6o
R=Y/sinA = 3.18/sin131.6=4.25 N[131.6o]