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A uniform 250 kg beam is supported by a cable connected to the ceiling, the angle of the beam resting on the floor is 40 degrees and the angle from the beam to the cable is 160 degrees. what is the tension of the cable?

I don't know how to solve this problem with no lengths given. when i start writing out the equation I get two variables, one for tension and one for the length.

any help would be greatly appreciated

## Homework Equations

sum of all forces=0, sum of all torques=0**3. The Attempt at a Solution [/b**

sum of all T: TmgL cos 60 -mg(L/2)-mg(L)=0

T={mg(L/2)+ mg(L)}/ mg(L) cos 60

?

sum of all T: TmgL cos 60 -mg(L/2)-mg(L)=0

T={mg(L/2)+ mg(L)}/ mg(L) cos 60

?