It is best to choose a coordinate system that will simplify future calculations. In this case, there is no preferable system to choose, so we will keep the original coordinate system with the x axis parallel to the horizon, and the y axis vertical.

Next, isolate the object or point through which the forces act. This occurs on the cable where the car is connected.

To complete the Free-Body Diagram (FBD) all the forces need to be drawn. The tension forces in the cable are labeled T₁ and T₂ because they are not in the same direction nor are they equal. In addition, the cable car is symmetric about the y axis, and therefore the support forces will be equal in magnitude. These forces are labeled F_S.

Now the angles need to be specified. But since the axis has not been altered, they will be exactly the same as before.