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SubZer0
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Homework Statement
This is an equilibrium problem with 3 unknown forces, and 2 unknown angles. I have resolved the horizontal and vertical forces.
Homework Equations
Horizontal components of forces:
-W1cos Θ + W3cos ∅ = 0
Vertical components:
W1sin Θ + W3sin ∅ - W2 = 0
Where W1, W2, W3 are weight components, and Θ, ∅ are angles between suspending cables.
The Attempt at a Solution
The goal is to find equations to resolve the angle components. This seems simple enough, but apparently isn't. I have attempted to substitute +/- sqrt(1 - sin2 Θ) and +/- sqrt(1 - sin2 ∅) for the cos Θ and cos ∅ components respectively, but this just ends up a huge mess. There has got to be an easier way of resolving the angular components in these two equations.