Tension in a string at an angle

[BikeSmoth]

Homework Statement

A wire of negligible mass is used to hang a 2.15 kg picture. The ends of the wire are attached to the top 2 corners of the picture. Each end of the wire forms an angle of 15.0 degrees from the horizontal. What is the tension in the wire?

Homework Equations

$$\Sigma$$F=ma

The Attempt at a Solution

This is my latest and posiibly best attmept so far, but I don't have anyone to tell me if its right or not.
$$\Sigma$$F+(-ma)=2Tsin$$\theta$$-ma=0
2Tsin15-19.737=0
T=38.1N

 

[Zayer]

It's correct

 

[dacruick]

on which wire would you like the tension for?

 

[rock.freak667]

Yes it looks correct to me.

Though you should put ΣF_y=0 when the picture is in equilibrium and then rearrange to get T.

2Tsinθ-mg=0

 

[BikeSmoth]

there is only one wire with the picture connected at the two ends hanging down.

 

[BikeSmoth]

well it looks like my brilliant self put 9.18 instead of 9.81 in my calculator and subsequently got the question wrong. Man I hate online homework so much!