Where did I go wrong in finding the length x using the grabber-statics example?

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mrshlnnxfa
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Hello,

We should get the length x , when the grabber can just hold the box.

yTBz.png


I made two moment equations:

e[czech]{babel}%20M_{1}=\frac{G}{2\mu%20}*\sqrt{(l_{1}+l_{2})^{2}+(\frac{b}{2})^{2}}\end{align*}.gif


yle\begin{align*}\usepackage[czech]{babel}%20M_{2}=\frac{G}{2}*\sin%20\alpha%20*%20x\end{align*}.gif


Then I put them together into one equation:
mathtex.gif


And from that equation I found out x:
mathtex.gif
Unfortunately the result seems to be wrong. Can you please help me? Where I made the mistake?
 
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i think the frictional force balance the wight of the box.we have to give the normal force on the box that give rise to the friction by giving a torque to the grabber
 
I finally got it. Here is the solution.

Ehpw.png
 
Yes,that is the correct answer:smile: