Simplest solution

Forces Acting in Two Dimensions: Tutorial ay cite Fr Pu \"Ue are ea eae sketch (top), free body diagram (bottom) e eo 6 of 23 LUA Let's use the steps to calculate the tension in the two wires that support a light fixture. Both wires make an angle of 40 with respect to the ceiling. The weight of the fixture is 75 newtons. First, list all important information from the problem statement. Determine which quantities are known (given) and which are unknown (find). Given: angle at horizontal, @ = 40 weight, F, = 75 newtons Find: tension in each wire, Fr; and Fr2 Next, sketch the problem and draw a free body diagram showing all external forces. Consider the forces acting horizontally: at equilibrium, SOF, = 0. The x-component of Fr; acts along the negative x-direction. It's equal to -Fr, cos 40. The x-component of F7, acts along the positive x-direction. It's equal to Fr2 cos 40