Find the tensions T1 and T2 in the ropes as shown in the diagram to the right.

Recall that in order for an object to be static the sum of the vertical forces on it must = 0 and the sum of the horizontal forces on it must = 0. This means that for the point where the three ropes join:

Horizontal forces:

Vertical forces:

If you apply the sin and cosine functions with your
calculators you get two equations in two unknowns as shown. The
first step is to eliminate one of the variables. In the solution
shown below, Row 1 was multiplied by 0.5736 and Row 2 was
multiplied by -0.8192 and then the two equations were added. Once
*T*1 has been found,
*T*2 can be found by
substitution.