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Static equilibrium

  1. Oct 2, 2016 #1
    1. The problem statement, all variables and given/known data

    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.
    2. Relevant equations


    3. 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.
     
  2. jcsd
  3. Oct 2, 2016 #2

    mfb

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    How did you get the maximal weight without knowing the angle?
    What did you try so far?
    What is the first step?
     
  4. Oct 2, 2016 #3
    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
     
  5. Oct 2, 2016 #4

    haruspex

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    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.
     
  6. Oct 3, 2016 #5

    mfb

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    The CD connection could break as well. You cannot know when that happens without the angle.
     
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