A few questions from an already graded test on classical forces

1. The problem statement, all variables and given/known data

A mass m is suspended from a spinning rod by two massless cords of equal length L, held fixed at points along the rod D meters apart. It is observed that m moves in a circle with a tangential velocity v, find the ratio of the tensions between the two supporting cords

2. Relevant equations

Newton's three laws of motion

3. The attempt at a solution

I didn't get terribly far on this one; I focused too much time on frictional forces during study.

I set up the problem, showing an isoceles triangle pointing rightward (with the mass m at the nexus), and angles θ₁ and θ₂. I didn't get too much farther due to time constraints while actually taking the test, and the instructor himself won't be available to answer it for close to a week. Any help is appreciated.

I can post an image of what I did once I get home, in case it helps.

 

Ok, here's the image with picture.

I wrote down two angles, thinking that I needed to find a ratio of the angles first. Seems to be rather poor reasoning in hindsight.

 

In that case, because θ₁ = θ₂ and L₁ = L₂, would the tensions be equal, and thus in a 1:1 ratio?