The ball joint is subjected to the three forces shown. Find the magnitude of the resultant force.

The ball joint is subjected to the three forces shown. Find the magnitude of the resultant force.

Solution

 for

F1X = 1.25 (since f1 is parallel to x- axis)
F2y = 5(sin 30) = 2.5
F2z = 5(cos 30) = 4.330
F3y = 2(3/5) = 1.2
F3z = 2(4/5) = 1.6

summation along x = 1.25 = 1.25
summation along y = -2.5 + 1.2 = -1.3
summatiob along z = 4.330+1.6 = 5.93

R = SQUARE ROOT OF (fx+fy+fz)
R = SQUARE ROOT OF ((1.25)square)+ ((-1.3)square + ((5.93)square)
R = 6.20 KN