Tension between two masses and three ropes

[jbuck]

Homework Statement

The system is in equilibrium with the center string exactly horizontal. Find T1, T2, T3, and theta

Homework Equations

T1cos(angle1)-T2cos(angle2)=0
T1sin(angle1)+T2(angle2)-mass1=0

The Attempt at a Solution

Currently working on mass 1
When making free body diagrams for this problem, I think it makes more sense to use the two points at which the three ropes connect ( a and b) rather than the masses, due to the rope joining the two. I can't figure out how to incorporate this into the equations. I thought 90 degrees was correct, but that answer was illogical. I think if I'm able to find an angle for T2, the rest of the problem will fall into place.

Thank you for your help :)

 

[ehild]

You meant that figure :

Homework Statement

The system is in equilibrium with the center string exactly horizontal. Find T1, T2, T3, and theta

Homework Equations

T1cos(angle1)-T2cos(angle2)=0
T1sin(angle1)+T2(angle2)-mass1=0

The Attempt at a Solution

Currently working on mass 1
When making free body diagrams for this problem, I think it makes more sense to use the two points at which the three ropes connect ( a and b) rather than the masses, due to the rope joining the two. I can't figure out how to incorporate this into the equations. I thought 90 degrees was correct, but that answer was illogical. I think if I'm able to find an angle for T2, the rest of the problem will fall into place.

Thank you for your help :)

Draw the FBD. Explain your notations. What do angle1 and angle2 mean? Your second equation is wrong. Show your work in detail.