Equilibrium of a Rod Problem: Find Minimum Distance x

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SUMMARY

The forum discussion centers on solving the equilibrium of a uniform beam supported by a cable and friction. The beam has a length of 1.50 m, a coefficient of static friction of 0.420, and an angle of θ = 30°. Participants analyze the forces acting on the beam, including the normal force (Fn), frictional force (Ff), and the weight of the beam (w). The final solution involves deriving the relationship between these forces to determine the minimum distance x from point A for an additional weight of 2w, ultimately leading to the conclusion that x = 0.065 m, although some participants express uncertainty about this result.

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  • #31
burnst14 said:
Alright I got the right answer using your value. I'm not sure how you got it though. That seems to be new to me.

[cos30-(sin30/-μ)]FB = 3w/-μ

FB = [(-3w/-μ)/(cos30-(sin30/-μ)]

This is almost exactly the equation I got. Just multiply the numerator and denominator by ##\mu##.

FB = (-3w/-μ)[(1/cos30)-(-μ/sin30)

This is wrong. You cannot go from ## \frac {a} {b + c} ## to ## a(\frac 1 b + \frac 1 c)##, these are not equal.

As for the tool, click the Quote button on my message, you will see some code there. That code is LaTeX. When you are in (advanced) reply screen, there is a ##\sum## button, which you can use to find codes for whatever math symbol you need. Or you can just search for a LaTex reference online.
 
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  • #32
Alright thank you. Oh okay. I'll use that next time. Thanks for all the help. This forum is great.
 

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