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

Click For Summary

Discussion Overview

The discussion revolves around finding the length x in a grabber-statics example, focusing on the conditions under which the grabber can hold a box. Participants are examining the moment equations used in the analysis and identifying potential mistakes in the calculations.

Discussion Character

  • Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant describes their approach of using moment equations to find the length x but expresses uncertainty about the correctness of their result.
  • Another participant suggests that the frictional force balances the weight of the box and emphasizes the importance of the normal force in generating friction through torque applied by the grabber.
  • A later reply claims to have found the correct solution, though the details of this solution are not provided.
  • Another participant agrees with the solution presented, indicating it is correct, but does not elaborate on the reasoning or calculations involved.

Areas of Agreement / Disagreement

The discussion shows some disagreement regarding the initial calculations and the approach to finding the length x. While one participant claims to have found the correct answer, the lack of detailed explanation leaves the overall resolution of the problem unclear.

Contextual Notes

Limitations include the absence of detailed calculations from the participants, which may affect the clarity of the reasoning and the assumptions made in the moment equations.

mrshlnnxfa
Messages
2
Reaction score
0
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?
 
Engineering news on Phys.org
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:
 

Similar threads

Replies
12
Views
2K
Replies
1
Views
2K
Replies
23
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 12 ·
Replies
12
Views
5K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K