Determine the magnitude of force at pin A as a function of position d.

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SUMMARY

The discussion focuses on determining the magnitude of force at pin A as a function of position d, specifically for a system involving a 700 kg weight. The user successfully derived the force on member BC (Fbc) as 6.86d/1.2 but initially struggled to calculate the force at pin A (Fa). After attempting to sum the forces in both the x and y directions using the equations ƩFx=0 and ƩFy=0, the user realized the omission of the weight in the y-force summation, which led to the correct calculation of Fa.

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Homework Statement


Refer to link for picture of problem.
http://session.masteringengineering.com/problemAsset/1127894/8/Prob.5-29.jpg
Determine the magnitude of force at pin A as a function of position d.
The mass of the weight is 700 kg and d goes from 1.7 m to 3.5 m

I have found Fbc (Force on member b c) from an earlier problem to be 6.86d/1.2 and it is correct.
I can't seem to get Fa (Force on pin a) though.

Homework Equations


Summation of forces


The Attempt at a Solution



I tried to sum the forces in the x direction and y direction and got the equations.
ƩFx=0: Ax - cos(53.13)Fbd = 0
ƩFy=0: Ay - sin(53.13)Fbd = 0

I then found Ax and Ay then squared them added them together and took the square root.
I got 5.716d. That is not the correct answer. Where did I go wrong?
 
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Nevermind. I forgot to put the weight in the summation of the y forces. I got it
 

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