Secure https/ 87254088 Chapter 11.HW Problem 11.49 previous | 6 of Part A You op

Question

Secure https/ 87254088 Chapter 11.HW Problem 11.49 previous | 6 of Part A You open a restaurant and hope to entice customers by hanging out a sign (Fiqure 1).The uniform horizontal beam supporting the sign is 1.60 m long, has a mass of 20.0 kg, and is hinged to the wall. The sign itself is uniform with a mass of 33.0 kg and overall length of 1.20 m. The two wires supporting the sign are each 38.0 cm long, are 90.0 em apart, and are equally spaced from the middle of the sign. The cable supporting the beam is 220 m long What minimum tension must your cable be able to support without having your sign come crashing down? Express your answer with the appropriate units TiaValue Units Figure 1o My Answers Give Up Submit Part B What minimum vertical force must the hinge be able to support without pulling out of the wall? Express your answer with the appropriate units. Cable Hing 0 GOOD EATS Value Submit My Answers Give Up Type here to search

Explanation / Answer

A) For equilibrium, Each of the two wires will have tension =Mg/2 = 33*9.8/2 = 161.7 N

Now balancing torque about hinge at limiting case,

Tmin*1.6* sin (arccos(1.6/2.2))

= 161.7*1.6+161.7*(1.6-0.9) + 20*9.8*1.6/2

1.098*Tmin = 528.71

Tmin = 528.71/1.098

= 481.5 N answer

B) Vertical force from wall = Tmin*sin theta +mg+Mg

= - 481.5*sin (arccos(1.6/2.2)) + 20*9.8 +33*9.8

= 189 N answer

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