How do I solve this? Vector A has a magnitude of 5 and is at an angle of 28.9 de
ID: 1329273 • Letter: H
Question
How do I solve this?
Vector A has a magnitude of 5 and is at an angle of 28.9 degrees measured counter-clockwise from the x axis. Vector B has a magnitude of 13 and is at an angle of 108.3 degrees measured counter-clockwise from the x axis. Vector C has a magnitude of 18 and is at an angle of 180 degrees measured counter-clockwise from the x axis. Lastly, Vector D has a magnitude of 18 and is at an angle of 283.1 degrees measured counter-clockwise from the x axis. If R = A + B + C - D, find the angle R makes with the x axis measured counterclockwise in degrees.
Explanation / Answer
we break the vectors into their x and y components:
A
x:4.3773
y:2.4164
B
x:-4.0819
y:12.343
C
x:-18
y:0
D
x:-4.0797
y:17.532
resultant,R
resultant Rx = -21.784
resultant Ry = 32.291
-----------------------
magnitude of R = sqrt (Rx^2 + Ry^2) = 38.952
angle of R = 124 degrees
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