Static Equilibrium: A 1380 N uniform boom of length ℓ is supported by a cable

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Homework Help Overview

The problem involves a static equilibrium scenario with a uniform boom supported by a cable, where forces and torques must be analyzed to determine the tension in the cable. The boom has a specified weight and is pivoted at one end, with an additional weight hanging from its top.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to sum forces in both the x and y directions, as well as torques, to find the tension in the cable. There is uncertainty regarding the lack of a specific length for the boom and how that affects the calculations.

Discussion Status

Some participants have suggested that summing the torques could lead to a solvable system of equations. There is acknowledgment of the need for clarity on the problem statement, and some guidance has been offered regarding the approach to take.

Contextual Notes

Participants note the absence of a specific length for the boom, which may complicate the analysis. The original poster expresses confusion about starting the problem, indicating a need for further clarification on the concepts involved.

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Homework Statement



A 1380 N uniform boom of length ℓ is supported by a cable, as shown. The boom is pivoted at the bottom, the cable is attached a distance 3/4ℓ from the pivot, and a 3604N weight hangs from the boom’s top. Find the tension of the cable.

here is a picture of the diagram
24.media.tumblr(dot)com/tumblr_m3f8sxRH7H1qdg2z1o1_400.jpg[/PLAIN]

Homework Equations



I know that the sum of the forces in the x direction is 0 and the sum of the forces in the y direction is also 0. I am having issues understanding this concept and I don't understand how to even start this.

The Attempt at a Solution



Ive tried buy getting the forces in the x and y direction but it seems as though I should be able to find the tension of the cable without finding these first. One thing that is throwing me off is the fact they don't give and actual length to the rod.
Any help would be appreciated!
 
Last edited:
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What is the actual question? Find the tension in the cable?
 
Yes, sorry forgot to paste that bit.
 
You should be able to find it fairly easily if you sum of the torques in the system. This should give you a solvable system of equations. They give you the length of the rod, it's total length is L.
 
Thank you!
 

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