Physics
posted by Claire .
A string of length 50cm is used to hang a picture frame from a nail hammered on a smooth wall. The frame is 20 cm wide and weighs 10N. It hangs symetrically.
The angle which each part of the string makes with the vertical is 23.6.
 State the magnitude and direction of the force on the nail.
 Calculate the tension in the string.
I tried to work the first part and couldn't do it. Then I triedd the second part. Can anyone check my working and tell me whther it's right please?
Resolve vertically:
T1 Sin 66.4 +T2 Sin 66.4 = 10N
Resolve horizontally:
T1Cos 66.4 = T2 Cos66.4
The I solved them simultaneously.
T1 = 5N and T2=5N. Therefore tension in string is 10N.

I don't have a clue what you did, but it was wrong. Your static equations are correct.
T1+T2=10/sin66.2
T1T2=0 Or T1=T2 then
2T1=10/sin66.2
which does not lead you to your answers.