Mechanics AS (Vectors)
posted by Jat .
When Studying Vectors, How Would I Go About Answering This Question?
In Each of the following Cases, find the magnitude and direction of the resultant vectors of the two given vectors:
a) a displacement of magnitude 26km on a bearing of 175 degrees and a displacement of magnitude 18km on a bearing 294 degrees
b) Forces of 355 N on a bearing of 320 degrees and 270 N on a bearing of 025 degrees
help would be MUCH appreciated, if you could also explain how you answer it ?
also if you feel like drawing a diagram on paint or something if you could link it?
in order to add vectors, it's necessary to convert to (x,y) from (r,θ)
For problem (a), we want to add
(26,175°) and (18,294°)
Now, bearings use 0° as North, measured clockwise, so we have to use
x = r*sinθ
y = r*cosθ
(26,175°) -> (2.266,-25.901)
(18,294°) -> (-16.444,7.321)
add 'em up to get
convert back to (r,θ) to get distance and bearing.
now go and do (b) the same way