Finding the Magnitude and Placement of Force F for a Loading System

[bigu01]

Homework Statement

Determine the magnitude and direction (theta) of force F and its placementd on the beam so that the loading system is equivalent to a resultant forece of 12kN acting vertically downward at point A and a clockwise coupuple moment of 50kN*m

Homework Equations

M=Fd

The Attempt at a Solution

I am writing equations for resultant Fx and Fy and also for the moment. Fx=Fcos(theta)-1.4 Fy=Fsin(theta)+7.8 then squaring them and putting under the square root to equal 12.For the moment I am getting 14.6=Fsin(theta)*x. x is (7-d).

 

[haruspex]

squaring them and putting under the square root to equal 12.

It says a resultant of 12 downwards.

 

[bigu01]

Ohh, then Fcos(theta)=1.4, now makes sense, thanks a lot.Once again it is shown to me that reading the question REALLY carefully is really important :(.