Degrees Directional
Degrees Directional
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ADDITION OF VECTORS BY COMPONENTS?
The magnitudes of 4 vectors are as follows...
vector A=19m, 20 degrees north of west
vector B=11m, due north
vector C=12m, 35 degrees south of west
vector D=35m, 50 degrees south of east
What is the magnitude and directional angle of the resultant that occurs when these vectors are added together.
Thanks for your help...I'm trying to get my physics homework submitted online before Hurrican Gustav knocks out my power.
vector A=19m, 20 degrees north of west
vector B=11m, due north
vector C=12m, 35 degrees south of west
vector D=35m, 50 degrees south of east
horizontal components
Ax = -19 cos 20 = -17.85 m
Bx = 0
Cx = -12 cos 35 = -9.83 m
Dx = 35 cos 50 = 22.50 m
Rx = Ax + Bx + Cx + Dx = -17.85 + 0 - 9.83 + 22.50
Rx = -5.18 m
vertical components
Ax = 19 sin 20 = 6.50 m
Bx = 11 m
Cx = -12 sin 35 = -6.88 m
Dx = -35 sin 50 = m
Ry= Ay + By + Cy + Dy = 6.5 + 11 - 6.88 - 26.81
Ry = -16.19
R^2 = -5.18^2 + 16.19^2 = 288.95
R = sqrt (288.95)
R = 17.0 m
direction
tan x = -16.19 / -5.18 = 3.125
x = arctan (3.125)
x = 72.2 degrees southwest