What is the coefficient of friction in this inclined plane problem?

[nemo11]

Homework Statement

Two bodies with mass m1 and m2 are tied together with an inexstensible and massless string rolled over a massless pulley put at the top of the incline with angle 30 . m2=5 kg which is on the incline is blocked and T=10 N . m2 is let loose and the system starts moving freely. The distance traveled in the first second is d=0.5 m . Calculate: coefficient of friction , T when the system is moving .
The answers given are : mu=0.2 and T=11 N. [/B]

Homework Equations

The Attempt at a Solution

So I find a=1 m/s
But what confuses me is the given T=10 N when the system is not moving.
m2gsinθ =5*10*0.5=25 N
So there is another force acting in the direction of T so that the system is not moving. Is that force the force of friction ?
Or how can I calculate the coefficient of friction?
I am confused.
What I get for mu is 0.34 .

 

[theodoros.mihos]

$T_i=10\,N$ and $a_i=0$ when system not move.
When system rolling, $a_1=a_2$
Now you can see the forces to $m_2$.

 

[nemo11]

I've solved it . Thank you !