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Engineering Mechanics (Statics) 66 Problems (1-3) 22) The members of a truss are pin connected at joint O. Determine the magnitudes of F1 and F2 for equilibrium. Set θ = 60o. Prob. 1.22 23) If the bucket weighs 50 lb, determine the tension developed in each of the wires. Prob. 1.23/24 Chapter 1 Vectors 66 24) Determine the maximum weight of the bucket that the wire system can support so that no single wire develops a tension exceeding 100 lb. 25) Determine the stretch in springs AC and AB for equilibrium of the 2-kg block. The springs are shown in the equilibrium position. Prob. 1.25/26 26) The unstretched length of spring AB is 3 m. If the block is held in the equilibrium position shown, determine the mass of the block at D. 27) Determine the magnitude and direction θ of the equilibrium force exerted along link FAB by the tractive apparatus shown. The suspended mass is 10 kg. Neglect the size of the pulley at A. Engineering Mechanics (Statics) 66 Prob. 1.27 28) Consider the 75-kg crate shown in figure. This crate was lying between two buildings, and it is now being lifted onto a truck, which will remove it. The crate is supported by a vertical cable, which is joined at A to two ropes which pass over pulleys attached to the buildings at B and C. It is desired to determine the tension in each of the ropes AB and AC. 29) A sailor is being rescued using a boatswain’s chair that is suspended from a pulley that can roll freely on the support cable ACB and is pulled at a constant speed by cable CD. Knowing that α = 30o and β = 10o and that the combined weight of the boatswain’s chair and the sailor is 900 N, determine the tension (a) in the support cable ACB, (b) in the traction cable CD. Chapter 1 Vectors 66 Prob. 1.28 Prob. 1.29 30) Determine the tension developed in each wire used to support the 50-kg chandelier. 31) If the tension developed in each of the four wires is not allowed to exceed 500 N, determine the maximum mass of the chandelier that can be supported. Engineering Mechanics (Statics) 67 Prob. 1.30/31 32) The ball D has a mass of 20 kg. If a force of F = 100 N is applied horizontally to the ring at A, determine the dimension d so that the force in cable AC is zero. Prob. 1.30/31 End.
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