Tension in a pulley system pulled at an angle

[erensatik]

Homework Statement

The system is in equilibrium. What is the tension in the bottom rope in the setup below? Neglect the mass of the rope and the pulley.

Relevant Equations

F=ma

This problem just came to my mind when thinking on another problem. Does the tension is just 2T as it is if the angle "a" is 90 degrees? It seems not to me. In a "normal"( I don't really know what is the right word for that) situation, the tension is would be 2T at the line in the middle of two strings and would be symmetric. So it should be less than that I guess. That's all I can think of and I am not sure. Please help me out.
One last thing I need to ask is that does making the pulley fixed makes a difference? I have no idea what would be the difference.

 

[berkeman]

I don't think you should be showing the vertical rope as straight vertical. Do you think that the sideways force from the right rope might pull the mass to the right a bit?

 

[Lnewqban]

Do you know how to create a free body diagram of that loaded pulley?

 

[erensatik]

Do you know how to create a free body diagram of that loaded pulley?

totally got it, saying that is enough. Thanks for the help