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

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SUMMARY

The discussion centers on determining the magnitude and direction of force F, along with its placement on a beam, to achieve a resultant force of 12 kN acting vertically downward at point A and a clockwise couple moment of 50 kN*m. The equations used include Fx = Fcos(theta) - 1.4 and Fy = Fsin(theta) + 7.8, leading to the resultant force calculations. The moment equation is expressed as 14.6 = Fsin(theta) * x, where x is defined as (7 - d). The importance of careful reading of the problem statement is emphasized for accurate solutions.

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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).
 

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bigu01 said:
squaring them and putting under the square root to equal 12.
It says a resultant of 12 downwards.
 
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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 :(.
 

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