Minimizing Tension: Solving for Unknown Angle in Hanging Package Problem

[mdoucette225]

Homework Statement

A package of mass m hangs from a short chord that is tied to the wall via cord 1 and to the ceiling via cord 2. Cord 1 is at an angle 40 degrees with the horizontal cord two is at an unknown angle.
-For what value of the unknown angle of cord two is the tension minimized?
-In terms of mg, what is the minimum tension in cord 2?

Homework Equations

The Attempt at a Solution

mg= FT1 +FT2. I attempted to find the minimum tension first, but honestly I have no idea where to start

 

[ideasrule]

First, draw a free-body diagram for every mass. Draw out all forces and write down Newton's second law for both the x and the y components.