Two Angle, Leaning Stick Static Friction Problem

[lizzyb]

State the Problem

End A of a slender, uniform rod of weight w and length L bears on a horizontal surface ash shown, while end B is supported by a cord BC of length L. Knowing that the coefficient of static friction is 0.40, determine (a) the value of theta for which motion is impending, (b) the corresponding value of the tension in the cord.

http://img198.imageshack.us/img198/4025/0823bookdiagram1.jpg

Related Equations
F = mu * n

Work Done So Far
http://img243.imageshack.us/img243/4356/082310001.jpg
http://img198.imageshack.us/img198/1922/082310002.jpg
http://img42.imageshack.us/img42/558/082310003.jpg
http://img20.imageshack.us/img20/2554/082310004.jpg
http://img86.imageshack.us/img86/9180/082310005.jpg

I put these into the computer but it couldn't give me an answer; does this look set up okay to you?

 

[nvn]

lizzyb: I can't read the illegible writing, so let me take a guess. What is that stuff under the square root sign for? What's that all about? Eliminate it, then try solving again. The solver needs to be a good one for this problem. Bad solvers, or good solvers on bad machines, can have trouble with this problem.