Consider two vectors F~
1 with magnitude 83 N
inclined at 248
◦
and F~
2 with magnitude 99 N
inclined at 320
◦
, measured from the positive
x axis with counterclockwise positive.
What is the magnitude of the resultant vector F~
1 + F~
2 ? Draw the vectors to scale on a
graph to determine the answer.
Answer in units of N Your answer must be
within ± 5.0%
2)What is the direction of this resultant vector
(between the limits of −180
◦
and +180
◦
from
the positive x-axis) ?
Answer in units of
◦
Your answer must be
within ± 5.0%
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Answers & Comments
Verified answer
Then, we have...
83cos(248)i + 83sin(2428)j + 99cos(320)i + 99sin(320)j
You determine the exact magnitude and the direction by yourself. First, combine the vectors. Then, use these forms:
R = resultant = √(Rx² + Ry²)
Angle = arctan(Ry/Rx)
Good luck!