A traffic light weighing 1.12 102 N hangs from a vertical cable tied to two other cables that are fastened to a support, as shown in Figure (a). The upper cables make angles of θ1 = 40.0° and θ2 = 50.0° with the horizontal. Find the tension in each of the three cables.
EXERCISE HINTS: GETTING STARTED | I'M STUCK! Use the values from PRACTICE IT to help you work this exercise. Suppose the traffic light is hung so that the tensions T1 and T2 are both equal to 72 N. Find the new angles they make with respect to the x-axis. (By symmetry, these angles will be the same.)