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## Homework Statement

A mass suspended by a string is held 24

^{o}from vertical by a force of 13.8N as shown. Find the mass.

[PLAIN]http://img525.imageshack.us/img525/3421/problem32.jpg [Broken]

**2. The attempt at a solution**

[PLAIN]http://img205.imageshack.us/img205/6100/attemptv.jpg [Broken]

**I've split it up the two given forces (F, and F**

_{T}) by their axis and got the two equations:1. [tex]13.8N Sin\ominus + F_{T}Cos24 = mg[/tex]

2. [tex]13.8N Cos\ominus = F_{T}Sin24[/tex]

**Continuing on to solving for F**

_{T}with equation two, I get3. [tex]F_{T} = \frac{Sin24}{13.8N Cos\ominus}[/tex]

**I plug equation 3 into 1 to get**

[tex]13.8N Sin\ominus + \frac{Sin24}{13.8N Cos\ominus}Cos24 = mg[/tex]

**and solving for**

*m*to get:[tex]\frac{13.8N Sin\ominus 13.8N Cos\ominus + Sin24Cos24}{9.8m/s^{2}} = m[/tex]

**3. Where I'm stuck**

I can't get theta to solve for m. I have tried to get it through geometry and any other ways I could think of. Am I missing information in order to solve this problem, or am I just not doing this correctly?

Any help would be appreciated. Many thanks!

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