Determine the largest weight of the lamp that can be supported

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Homework Help Overview

The problem involves determining the maximum weight of a lamp that can be supported by cords with a specified tension limit, as well as finding the angle of one of the cords for equilibrium. The subject area includes concepts of tension, equilibrium, and forces in physics.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the maximum weight supported and the angle of the cords, questioning how one can determine the weight without knowing the angle. There are mentions of using free body diagrams and analyzing tensions in the cords.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some have provided partial answers while others are seeking clarification on how to proceed, particularly regarding the angle and its implications for the overall solution.

Contextual Notes

There is uncertainty regarding the assumptions made about the angles and the conditions under which the cords can support the weight. The original poster has provided some numerical values related to tensions but acknowledges a lack of progress on finding the angle.

Robb
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Homework Statement



Hibbeler14.ch3.p34.jpg

Each cord can sustain a maximum tension of 31 lb .

Determine the largest weight of the lamp that can be supported.
Determine θ of cord DC for equilibrium.

Homework Equations

The Attempt at a Solution


I found the answer to the first part of the problem (24.4lb) but not sure how to get theta.
 
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How did you get the maximal weight without knowing the angle?
Robb said:
but not sure how to get theta.
What did you try so far?
What is the first step?
 
Sorry for the hand written notes. The answer to the first part is boxed in in the middle of the page. I haven't really done anything other than stare at my equations for the second part. I assume I am working with the equations associated with the FBD at the bottom of the page. T(1)=12.63lb., T(2)=17.86lb, T(3)=30.93lb
upload_2016-10-2_20-47-40.png
 
As mfb posted, you cannot be sure of your answer to a) until you have found theta.
You can find T4 from analysis of B.
 
The CD connection could break as well. You cannot know when that happens without the angle.
 

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