Question

H10. Homework due Thursday, October 17th 110 Homework due Thursday, October 1su name. L'asides Ressingen Name: CO When a 25-kg traffic light is hung from the middle of an aluminum wire, the wire sags to make an angle of 12 with the horizontal. What is the minimum radius of the wire required to keep the traffic light from falling? (4 points) no TV Tsine Tsine {Fy= 2Tsinor ng =0 T = (25 kg 9.81m153) a sin 12° T = N Aluminum tensile strength =200x106 N/m² = 90 mpa 200 x 104 1583 N Nine : rs9.6x10m √5830 200x106 mit Tr? A 2.915 x 10-6 - Tr? 9.278x 10-7 r2 What diameter of aluminum wire should be used to keep the traffic light from falling when including a safety factor of 10? See page 245 in text if you don't know what a safety factor is. (1 point) 10:22 r = 110x1.443 r = 4,56 x 10-3m lor be

Answer 1

m = 25 kg, 8:12: 27 Sino at Sino= mg To T60 - T= ng 2 Sino T. 25x9.8 245 2x thin 12" comme -589.190 Maximum Tensile strength = 200 x 100 N/m² tensile strength = Area 200x10 6 - 589.19 Tr2 r² =589-19 -= 9:382x1017 200 x 106 - Tr=9.68x104m 1