Question

Force-couple system

A couple of magnitude M = 54 lb. in and the three forces shown are applied to an angle bracket.

(a) Find the equivalent force-couple system (resultant force-couple) located at Point B.

(b) Determine the resultant force couple located at Point C.

(c) Determine locations, (x,y), where the resultant force-couple system consists only the net force but no resultant moment, i.e = Moment R = 0. Please definecoordinates first.


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Answer #1

uploaded imageuploaded imageuploaded imageuploaded imagefirst two photos are for point C and last two are for point B.

for the last part, take any point on the line AB at a distance x from A. then write the moment equation for that point same as i written for point A and B.

you will get moment equation in terms of x. simply put it zero , to get the value of x.

force Fx and Fy will remain the same for that point also.

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Answer #2

uploaded imageuploaded imageuploaded imageuploaded imagefirst two photos are for point C and last two are for point B.

for the last part, take any point on the line AB at a distance x from A. then write the moment equation for that point same as i written for point A and B.

you will get moment equation in terms of x. simply put it zero , to get the value of x.

force Fx and Fy will remain the same for that point also.

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