A horizontal, uniform, solid copper rod has an original length lo, cross-sectional area A, Young's modulus Y, bulk modulus B, shear modulus S, and mass m. It is supported by a frictionless pivot at its right end and by a cable a distance lo/4 from its left end (Figure 1). Both pivot and cable are attached so that they exert their forces uniformly over the rod's cross section. The cable makes an angle with the rod and compresses it. (a) Find the tension in the cable. (b) Find the magnitude and direction of the force exerted by the pivot on the right end of the rod. How does this magnitude compare to the cable tension? How does this angle compare to ? (c) Find the change in length of the rod due to the stresses exerted by the cable and pivot on the rod. (The length change is small compared to the original length lo.) (d) By what factor would your answer in part (c) increase if the solid copper rod were twice as long but had the same cross-sectional area? Figure Cable 0 Rod, mass m lo Pivot 1 of 1 >

A horizontal, uniform, solid copper rod has an original length lo, cross-sectional area A, Young's modulus Y, bulk modulus B, shear modulus S, and mass m. It is supported by a frictionless pivot at its right end and by a cable a distance lo/4 from its left end (Figure 1). Both pivot and cable are attached so that they exert their forces uniformly over the rod's cross section. The cable makes an angle with the rod and compresses it. (a) Find the tension in the cable. (b) Find the magnitude and direction of the force exerted by the pivot on the right end of the rod. How does this magnitude compare to the cable tension? How does this angle compare to ? (c) Find the change in length of the rod due to the stresses exerted by the cable and pivot on the rod. (The length change is small compared to the original length lo.) (d) By what factor would your answer in part (c) increase if the solid copper rod were twice as long but had the same cross-sectional area? Figure Cable 0 Rod, mass m lo Pivot 1 of 1 >

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 40AP: A stepladder of negligible weight is constructed as shown in Figure P12.40, with AC = BC = = 4.00...

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