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As shown in Fig. P2.43, a steel wire suspended vertically having a cross-sectional area A and an initial length x0 is stretched by a downward force F applied to the end of the wire. The normal stress in the wire varies linearly according to ) 5 C*, where * is the strain, given by * 5 (x 2 x0)/x0, and x is the stretched length of the wire. C is a material constant (Young’s modulus). Assuming the cross-sectional area remains constant, (a) obtain an expression for the work done on the wire. (b) evaluate the work done on the wire, in ft ! lbf, and the magnitude of the downward force, in lbf, if x0 5 10 ft, x 5 10.01 ft, A 5 0.1 in.2, and C 5 2.5 3 107 lbf/in.2

As shown in Fig. P2.43, a steel wire suspended vertically having a cross-sectional area A and an initial length x0 is stretched by a downward force F applied to the end of the wire. The normal stress in the wire varies linearly according to ) 5 C*, where * is the strain, given by * 5 (x 2 x0)/x0, and x is the stretched length of the wire. C is a material constant (Young’s modulus). Assuming the cross-sectional area remains constant, (a) obtain an expression for the work done on the wire. (b) evaluate the work done on the wire, in ft ! lbf, and the magnitude of the downward force, in lbf, if x0 5 10 ft, x 5 10.01 ft, A 5 0.1 in.2, and C 5 2.5 3 107 lbf/in.2

Grade:6

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