Posted by Hannah on Wednesday, March 31, 2010 at 9:37pm.
Three forces with magnitudes of 70 pounds, 40 pounds, and 60 pounds act on an object at angles of 30 degrees, 45 degrees, and 135 degrees, respectively, with the positive xaxis. Find the direction and manitude of the resultant of these forces.
Please explain. I really do not understand these.

Math  Reiny, Wednesday, March 31, 2010 at 10:05pm
The three vectors can be written as
(70cos(30),70sin(30)) or (60.622, 35)
(40cos45,40sin45), or (28.2843, 28.2843)
(60cos135,60sin135) or 42.4264, 42.4264)
so the sum of those three vectors is
(46.4799, 35.7107)
the magnitude of that is
√(46.4799^2 + 35.7107^2) = 58.614
the direction would be arctan(35.7107/46.4799) = 37.535°

Math  Hannah, Wednesday, March 31, 2010 at 10:45pm
Thank You!

Math  Baymax, Saturday, July 23, 2016 at 7:56pm
THE SAME AS HANNAH!
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