Let a rod of constant cross-sectional area of 3 cm² and length 25 cm have its mass distributed according to the density function p(x) = 4+0.03x2, measured in g/cm³. Find the location z at which to cut the bar so that the two pieces will have the same mass. Make sure you show how integration is used to find z. You are welcome to use a graphing utility like Desmos to help you find the answer.

Let a rod of constant cross-sectional area of 3 cm² and length 25 cm have its mass distributed according to the density function p(x) = 4+0.03x2, measured in g/cm³. Find the location z at which to cut the bar so that the two pieces will have the same mass. Make sure you show how integration is used to find z. You are welcome to use a graphing utility like Desmos to help you find the answer.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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