Angular tension on a hanging body

AI Thread Summary
The problem involves calculating the tension in FT2 and the mass of a box based on given angles and the tension in FT1, which is 200N. The correct calculation for FT2 results in approximately 148.445N. When determining the mass using the forces in the vertical direction, the calculation yields a mass of 23.207 kg. This value contradicts the answer provided in the worksheet, which states the mass is 15.4 kg, suggesting a possible error in the worksheet. The consensus among participants is that the calculated mass of 23.207 kg is accurate.
MrJingles
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[SOLVED] Angular tension on a hanging body

Homework Statement

"In the diagram (see link), the tension on FT1 is 200N, angle measurements given are 50 deg and 30 deg left to right. What is the tension in FT2? What's the mass of the box?"

http://s175.photobucket.com/albums/w140/Sketchphonics/?action=view&current=Tensiondiagram.jpg
(^diagram of problem^)

The Attempt at a Solution



I've worked out the FT2 value by making 200cos50=FT2cos30; getting a final number of 148.445N (correct according to answer sheet).
Solving for the mass, I've added the two 'y direction forces' which should equal Fg times some mass. Thus, 200sin50+148.445sin30=9.8(M)

which comes out to M= 23.207 Kg. The answer on my worksheet is "15.4kg" so apparently I've done something quite wrong. Any help would be much appreciated, thanks a bunch.
 

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Your answer seems to be correct.
 
Your answer is correct. I got 23.207 Kg for the mass also so the book must be wrong.
 
I wasn't sure- every other time I've thought that I ended up being wrong.
Thanks anyways-

NJ
 

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