The yield strength of an alloy is 7.0 x 108 N/m? What is the minimum radius rmin of a 3.0 m long wire made from the alloy if a single strand is designed to support a commercial sign that has a weight of 8000 N and hangs from a fixed point? To stay within safety codes, the wire cannot stretch more than 5.0 cm. rmin =

The yield strength of an alloy is 7.0 x 108 N/m? What is the minimum radius rmin of a 3.0 m long wire made from the alloy if a single strand is designed to support a commercial sign that has a weight of 8000 N and hangs from a fixed point? To stay within safety codes, the wire cannot stretch more than 5.0 cm. rmin =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 33PQ: Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a...

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A nanotube with a Youngs modulus of 1.000 1012 Pa is subjected to a stress of 3.14 1011 Pa by being pulled at its ends. Assuming the tube had an initial length of 8.12 106 m, what is the new length of the nanotube?
A brass wire and a steel wire, both of the same length, are extended by 1.0 mm under the same force. Is the cross-sectional radius of the brass wire more, less, or equal to the cross-sectional radius of the steel wire? Explain. Youngs moduli for brass and steel are 1.0 1010 N/m2 and 2.0 1011 N/m2, respectively.
Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a wall with a hinge pin. The other end is supported by a cable making the angles shown in Figure P14.33. Find the tension in the cable. FIGURE P14.33 Problems 33 and 34.
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In Example 14.3, we found that one of the steel cables supporting an airplane at the Udvar-Hazy Center was under a tension of 9.30 103 N. Assume the cable has a diameter of 2.30 era and an initial length of 8.00 m before the plane is suspended on the cable. How much longer is the cable when the plane is suspended on it?
Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.100 μm, what is the length of the fiber?
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A wrought iron wedge 2 cm long and 9 mm wide is used to attach a pulley to a shaft held still. The pulley has a 15 cm radius and the shaft has a 3 cm radius. A 200 kg block is suspended from the pulley. (a) Calculate the torque produced by the weight. Answer: 294Nm (b) Calculate the shear stress in the key Answer: 54.44 MPa (c) Calculate the maximum mass that can be suspended if you want to respect a safety factor of 5 Answer: 192.5 kg