Replace the loading system by an equivalent resultant force and specify where th
ID: 1331229 • Letter: R
Question
Replace the loading system by an equivalent resultant force and specify where the resultant's line of action intersects the horizontal segment of the member measured from A. Assume F1 = 20 kN and F2 = 14 kN. Determine the angle between the resultant force and the x axis. Express your answer using three significant figures. Determine where the resultant's line of action intersects the horizontal segment of the member measured from A Express your answer to three significant figures and include the appropriate units.Explanation / Answer
F = 11.2 i - 11.6i
r = xi + yj
torque due to resultant force F
torque = r x F = 0
i j k
r x F = x y 0
11.2 -11.6 0
r x F = (-11.6x - 11.2y) k
F2y = 14*(3/5) = 8.4 kN
F2x = 14*(4/5) = 11.2 kN
F1y = -20 kN
torque due to F1 & F2
T1 = -20*2 = -40 KNm
T2 = -(11.2*2) + (8.4*6) = 28 k Nm
torque = -12 kNm
(-11.6x - 11.2y) = -12
-11.6x - 11.2y = -12
-11.2y = -12 + 11.6x
y = -(11.6/11.2)x + 12/11.2
y = -1.04x + 1.07
y = mx + c
the force acts at 1.07 m from A <<<------answer