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## Homework Statement

In order to simplify this process and avoid possible errors I have included the scanned image of the problem from my textbook. (Let me know if the picture is too small and I will upload a larger one)

## Homework Equations

Mostly just free body diagrams..

## The Attempt at a Solution

For this problem I split the tensions on the right and left side of the pulley as T1(from A to B) and T2(from B to C) and once I found those out I would add them together to find the total tension of the system.

For this I know I have to find the forces in the x and y directions and I have come up with the necessary equations to solve the problem:

Fx: T2cos(phi) - T1sin(theta) (equation 1)

Fy: T2sin(phi) + T1sin(theta) - 50 (equation 2)

Using equation 1, I solved for T2 in terms of T1 and got :

T2 = T1sin(theta)/cos(phi)

Then I plugged T2 into equation 2:

T1tan(phi)sin(theta) + T1sin(theta) = 50

So my problem is basically this, I need at least one of the angles (phi or theta) for me to solve this problem, however I have very little clue as to how to obtain either one. I know I am supposed to use the fact that the length of the cable is 10feet and the distance between the walls supporting the cable is 8 feet but I really don't know how to approach this.

Thank you for any and all assistance you can provide.