In a test to determine the crushing characteristics of a packing material, a steel cone of mass m = 2.6 kg is released, falls a distance h = 700 mm, and then penetrates the material. The radius of the cone is proportional to the square of the distance from its tip. The resistance R of the material to penetration depends on the cross-sectional area of the penetrating object and thus is proportional to the fourth power of the cone penetration distance x, or R = kx4. If the cone comes to rest at a distance x = 28 mm, determine the constant k in terms of the test conditions and results. Utilize a single application of the work-energy equation.
In a test to determine the crushing characteristics of a packing material, a steel cone of mass m = 2.6 kg is released, falls a distance h = 700 mm, and then penetrates the material. The radius of the cone is proportional to the square of the distance from its tip. The resistance R of the material to penetration depends on the cross-sectional area of the penetrating object and thus is proportional to the fourth power of the cone penetration distance x, or R = kx4. If the cone comes to rest at a distance x = 28 mm, determine the constant k in terms of the test conditions and results. Utilize a single application of the work-energy equation.
Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN:9781337094740
Author:Segui, William T.
Publisher:Segui, William T.
Chapter1: Introduction
Section: Chapter Questions
Problem 1.5.6P: The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular...
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In a test to determine the crushing characteristics of a packing material, a steel cone of mass m = 2.6 kg is released, falls a distance h = 700 mm, and then penetrates the material. The radius of the cone is proportional to the square of the distance from its tip. The resistance R of the material to penetration depends on the cross-sectional area of the penetrating object and thus is proportional to the fourth power of the cone penetration distance x, or R = kx4. If the cone comes to rest at a distance x = 28 mm, determine the constant k in terms of the test conditions and results. Utilize a single application of the work-energy equation.
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