Question

5. A 15 kg streetlight is supported by three cables as pictured below. If the maximum tension that can be supported by each cable is 250 N, what must the maximum or minimum height h of the streetlight be? 6 m 4 m 4 m 4 m 3 m

Answer 1

"Given data weight = 15 times 9.81 = 147.15 T_AB = T_AC = T_AD = 250 N h_max, h_min Vector A A = 0i + 0 j + h k B = 3 i + 4 j + 4 k C = -6 i-3 j + 6 k D = 4 i-3 j + 4 k AB = (3-0)i + (4-0)j + (4-h)k u_AB = AB/