explain the resultant of a coplannar non concurrent non parallel force system by the method of moment
Answers
Answer:
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Explanation:
Explanation:
The resultant of non-concurrent force system is defined according to magnitude, inclination, and position.
The magnitude of the resultant can be found as follows
Rx=ΣFxRx=ΣFx
Ry=ΣFyRy=ΣFy
R=Rx2+Ry2−−−−−−−−√R=Rx2+Ry2
The inclination from the horizontal is defined by
tanθx=RyRxtanθx=RyRx
The position of the resultant can be determined according to the principle of moments.
MR=ΣMOMR=ΣMO
Rd=MRRd=MR
Ryix=MRRyix=MR
Rxiy=MRRxiy=MR
Where,
Fx = component of forces in the x-direction
Fy = component of forces in the y-direction
Rx = component of thew resultant in x-direction
Ry = component of thew resultant in y-direction
R = magnitude of the resultant
θx = angle made by a force from the x-axis
MO = moment of forces about any point O
d = moment arm
MR = moment at a point due to resultant force
ix = x-intercept of the resultant R
iy = y-intercept of the resultant R