Engineering Tension problem

[jaunty spear]

Unsure how to show (b), and following questions. Thanks.

[faint tide]

Still needs help?

[eternal bramble]

!showwork

[chilly wave]

Show your work, and if possible, explain where you are stuck.

[jaunty spear]

Yes. Not sure how to establish T1>T2 for T1sin(2b)+T2sin(b) = W

[faint tide]

For b

Cable abc is shorter than cde so its tension is greater than cde (cuz it distribute less tension compared to to cde)

[jaunty spear]

I don't think you can conclude it is shorter, the position of the diagram is negligible. Need to establish some sort of relation between Wc, T1, T2 and their angles. Angle formed between the two cables will be 180-(a+b) = 180-(3b)

[faint tide]

Sin 2beta + sin beta-Wc=0 for c ig

[faint tide]

Yeah, I probably don’t know how to prove that

[jaunty spear]

Well it would be T1sin2b + T2sinb - Wc = 0

[faint tide]

Yeah

I’m just lazy lol

For calculate the tension we can use cos

T1cos2b+t2cosb=0 t2=t1cos2b/cosb and u substitute to the sin equation and solve for t1 and t2

[faint tide]

For d I’m not sure

[faint tide]

Does d has only 1 answer?

[jaunty spear]

its not difficult to solve once you have an equation for the cables in terms of the given values

just mainly confused about proving tension