Question
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 x-axis. Find the direction and manitude of the resultant of these forces.
Please explain. I really do not understand these.
Please explain. I really do not understand these.
Answers
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°
(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°
Thank You!
THE SAME AS HANNAH!