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A pushes with force of 300 N at 25 degrees. B pushes with force of 275 N at 160 degrees. C pushes with force of 325 N at 300 degrees. Find resultant force.

  • physics -

    Here is a general solution:

    Resultant= 300Cos25i + 300Sin25j+275Cos160i+275Sin160j+ 325Cos300i + 325Sin300j

    where i is the axis angles are measured from.

    Do the math above, then resultant force is the remainder.

  • physics -

    F1 = 300 N @ 25 deg., F2 = 275 N @ 160
    deg, F3 = 325 N @ 300 deg.

    X = hor.=300cos25+275cos160+325cos300,
    X = hor.= 271.9 + (- 258.4) + 162.5,
    X = hor.= 176 N.

    Y=ver.=300sin25 + 275sin160+ 325sin300
    Y = ver. = 126.8 + 94.1 + (-281.5),
    Y = ver. = -60.6 N.

    tanA = Y/X = -60.6 / 176 = -0.3443,
    A = -19.0 deg. = 341 deg. CCW.

    R = X / cos341 = 176 / cos341 = 186.1 N @ 341 deg. = Resultant.

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