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

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The discussion focuses on the calculation of length x in the context of a grabber-statics example. The user initially attempted to derive length x using two moment equations but encountered an error in their calculations. They concluded that the frictional force balances the weight of the box and emphasized the importance of the normal force in generating friction through torque applied by the grabber. The final solution was confirmed as correct.

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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:
 

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