physics/ basic of statics

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Two forces 3kg & 5kg weight act at point making an angle 60° with each other find the magnitude & direction of the resultant

  • physics/ basic of statics -

    3 kg weighs 3*9.8 = 29.4 Newtons
    5 kg weighs 5*9.8 = 49 Newtons

    say the 49 N force is in the x axis direction
    tthe 29.4 N force is 60 degrees toward the Y axis

    Sum of x forces= 49+29.4cos 60 = 63.7 N
    Sum of y forces = 29.4 sin 60 = 25.5 N

    magnitude = sqrt(25.5^2 + 63.7^2)
    = 68.6 N or weight of mass of 7 kg on earth

    direction = tan^-1(25.5/63.7) = 21.8 degrees

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