Mathematics
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OpenStudy (bloomlocke367):
A_1=16.2 N @ 48.0° E of N.
A_2=39.6 N @ 27.0° N of W.
A_3=11.2 N @ 4.00° W of N.
I have to do the same thing as the last problem @phi.
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OpenStudy (sweetburger):
are these vectors?
OpenStudy (bloomlocke367):
Yes. I have to find the resultant vector using the component method
OpenStudy (phi):
do the same as before: change to "standard angles"
then you add up M*cos(x) of each vector
OpenStudy (sweetburger):
I dont know how you approach these but i usually draw standard angles on a cartesain
OpenStudy (phi):
for the x values
and M*sin(x) for the y values
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OpenStudy (bloomlocke367):
okay. hang on this may take a bit. Please be patient cx
OpenStudy (bloomlocke367):
would the first standard angle measure be 42 degrees? I just subtracted the original from 90
OpenStudy (sweetburger):
yes
OpenStudy (bloomlocke367):
and 117 for the second one?
OpenStudy (bloomlocke367):
wait.. no...
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OpenStudy (bloomlocke367):
153
OpenStudy (sweetburger):
yes
OpenStudy (bloomlocke367):
the final is 94?
OpenStudy (phi):
yes
OpenStudy (bloomlocke367):
now time to add.. one second.
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OpenStudy (bloomlocke367):
I got Ax=-24.026 and Ay=39.991
OpenStudy (bloomlocke367):
so it will be in the 2nd quadrant, right?
OpenStudy (sweetburger):
yea
OpenStudy (bloomlocke367):
so \(A=
\sqrt{(-24.026)^2+(39.991)^2}\)
OpenStudy (sweetburger):
I mean that looks correct but i havent done any of the corresponding math so im assuming your values are correct
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OpenStudy (bloomlocke367):
alright.
OpenStudy (bloomlocke367):
so I got A=46.65
OpenStudy (sweetburger):
alright so now your looking for the direction via tan^-1(y/x)
OpenStudy (bloomlocke367):
mhm.. and I got -59.003°... I'm not sure in which direction though..
OpenStudy (sweetburger):
we know were in the second quadrant so we add 180
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OpenStudy (bloomlocke367):
oh because right now we're in the 4th?
OpenStudy (bloomlocke367):
so 120.997°
OpenStudy (sweetburger):
wait is our x value positive and our y value negative?
OpenStudy (phi):
** Ax=-24.026 and Ay=39.991***
yes that is good
OpenStudy (bloomlocke367):
x is negative and y is positive
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OpenStudy (sweetburger):
i thought we were in the 2nd quadrant
OpenStudy (bloomlocke367):
that is the second quadrant
OpenStudy (sweetburger):
why did you say 4th then lol
OpenStudy (phi):
sketch the vector
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