Determine the magnitude and direction of the couple shown.

Determine the moment of the force at A about point P. Use a vector analysis and express the result in Cartesian vector form.

Replace the loading system acting on the post by an equivalent force and couple system at point O.

Determine the couple moment. Use a vector analysis and express the result as a Cartesian vector.

A force and couple act on the pipe assembly. Replace this system by an equivalent single resultant force. Specify the location of the resultant force along the y axis, measured from A. The pipe lies in the x-y plane.