Finding tension in suspended shelf

[tcd89]

Homework Statement

A 50.0 cm, uniform, 60.0 N shelf is supported horizontally by two vertical wires attached to the sloping ceiling (the figure (Intro 1 figure) ). A very small 23.0 N tool is placed on the shelf midway between the points where the wires are attached to it.
Find the tension in left wire.
Find the tension in right wire.

Intro figure 1:http://session.masteringphysics.com/problemAsset/1039059/5/YF-11-23.jpg

Homework Equations

$$\sum$$$$\tau$$=0
$$\sum$$F=0

The Attempt at a Solution

0 = (23 N)(.15 m)- (60 N)(.225 m) + TL(.30 m)
TL = 56.5 N

0= 56.5N + TR - 23N -60N
TR = 26.5


am I doing something wrong? any help is appreciated!

 

[tiny-tim]

Hi tcd89!

0 = (23 N)(.15 m)- (60 N)(.225 m) + TL(.30 m)

hmm … where did .225 come from? and your pluses and minuses are wrong.