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Two equivalent systems of forces and moments act on the on the L-shaped bar. Det

ID: 1850235 • Letter: T

Question

Two equivalent systems of forces and moments act on the on the L-shaped bar. Determine the force FA and FB and the couple M.

Explanation / Answer

It means that in both systems Sum of forces in X direction in system 1=Sum of forces in X direction in system2 ==> 50N=Fb Sum of forces in Y direction in system 1=Sum of forces in Y direction in system2 60-FA=40===>FA=20 Sum of Moments in in system 1=Sum of Moments in system2 (From a certain point in both systems,The point must be fixed) I will take The dotted point in System2 From which M applied SO (Anticlockwise +ve ;Clockwise -ve) Moments in System 1=-(60*3)-120=-300 Moments in sys2=-(40*3)+M-(50*3)=-270+M ===>-300=-270+M ===>M=-30 So M is clocwise and magnitude is 30

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