Math

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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.

  • Math -

    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 -

    Thank You!

  • Math -

    THE SAME AS HANNAH!

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