what is the answer for part B ? Replace the force system acting on the beam by a
ID: 1601803 • Letter: W
Question
what is the answer for part B ?
Replace the force system acting on the beam by an equivalent force and couple moment at point A. Take F_1 = 2.5 kN and F_2 = 1.1 kN Part A Determine the magnitude of the resultant force. Express your answer to three significant figures and include the appropriate units. Part B Determine the angle between the resultant force and the x axis. Express your answer to three significant figures. Part C Determine the equivalent resultant couple moment about the point A. Express your answer to three significant figures and include the appropriate units.Explanation / Answer
let i and j are unit vectors along +ve x and +ve y axis
then in vector form:
F1=2.5*(-4/5) i + 2.5*(-3/5) j
=-2 i -1.5 j
F2=1.1*sin(30) i -1.1*cos(30) j
=0.55 i -0.95263 j
F3=-3 j
net force=F1+F2+F3
=-1.45 i -5.4526 j
the force lies in third quadrant.
angle(in counter clockwise manner) with -ve x axis
=arctan(y component/ x component)
=arctan(5.4526/1.45)
=75.108 degrees
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