The bar shown is connected to two identical springs that always remain vertical. When force F is applied at the end, the springs stretch and the bar assumes angle θ. The springs are unstretched and the bar is horizontal when F = 0. If a force of F = 30 N produces an angle θ = 14°, determine the spring constant k (which is the same for each spring). The bar has negligible weight, and the lengths shown are L1 = 0.8 m and L2 = 1.8 m.