Solving Tension in a Cable Homework

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AI Thread Summary
The discussion focuses on finding the tension 'T' in a cable problem involving equilibrium conditions. The user has attempted to set up equations based on torque and forces but is struggling with the overall equilibrium conditions. They have identified the equation TLsinθ - w(l/2cosθ) - w(Lcosθ) = 0 for one part of the problem but are unsure about the other equilibrium conditions. Assistance is requested for completing the equations for both horizontal and vertical force components. The conversation emphasizes the importance of labeling forces and applying the relevant equilibrium equations to solve for tension.
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Homework Statement


Im having trouble understanding how to find the tension 'T' and pretty much answering the question on the .jpg file i have attached


Homework Equations


ƩFx=0, ƩFy=0, τ=r x F


The Attempt at a Solution


For question 17 i have:
TLsinθ - w(l/2cosθ)-w(Lcosθ)= 0 (*because net sum of torques =0*)

And for question 18 i have no attempts at the question haha.

Help would be much appreciated!
 

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datphysics said:
For question 17 i have:
TLsinθ - w(l/2cosθ)-w(Lcosθ)= 0 (*because net sum of torques =0*)
Good. That will give you the tension. What about the other conditions for equilibrium?
 
Umm i have no idea what are the other conditions of an equilibrium are..
 
datphysics said:
Umm i have no idea what are the other conditions of an equilibrium are..
You posted them under "Relevant Equations". :smile:
 
Sorry for the delayed reply but i have completed number 18 but have not completed 17 (been doing other topics, anyways back this topic).

The next part should be: (But I am not sure how haha)
3.TLsin60-3/2WLcos60 = 0
 
Last edited:
datphysics said:
Sorry for the delayed reply but i have completed number 18 but have not completed 17 (been doing other topics, anyways back this topic).

The next part should be: (But I am not sure how haha)
3.TLsin60-3/2WLcos60 = 0
Show your equations for ƩFx = 0 and ƩFy = 0.

Hint: Label the force components exerted by the pivot as Px & Py. You'll solve for those components, of course.
 

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