A rod is positioned along the z-axis such that one of its ends is at z = L, and the other one is at z = 2L.  The linear mass density of the rod is 2/z3.  Find the center of mass of this rod, and express your answer as a multiple of L, to three decimal places.  For example, if the center of mass is at z = 0.5L, enter 0.500. Hint: when simplifying, keep everything in fractions!

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A rod is positioned along the z-axis such that one of its ends is at z = L, and the other one is at z = 2L.  The linear mass density of the rod is 2/z3.  Find the center of mass of this rod, and express your answer as a multiple of L, to three decimal places.  For example, if the center of mass is at z = 0.5L, enter 0.500.

Hint: when simplifying, keep everything in fractions!

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