Determine the largest weight of the lamp that can be supported

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Each cord can sustain a maximum tension of 20 lb.
Determine the largest weight of the lamp that can be
supported. Also, determine u of cord DC for equilibrium.
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I've been stuck on this question for a while. At 2:35 when you solve for AC, how do you get 0.518W?

1.225AC + 0.707AC =W

Why is it not AC= W/1.932?

MurderedSTI
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How did we assume that force of A is in-between CD and (AB & BC)? I am confused on how we know the value of A.

atocousin
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If CD=1.157w then max w=17.286
If BE=1.268w then max w=15.773
Why did you pick 15.77 as max weight ?
(tag me if you reply plc)

musclebeast
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Next time bro show your all solution its confusing for those people not really good in deriving the formulas (except me). As I observed all of your videos people always asked for the values how they came up.

judasuanperino