Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 1, Problem 1.67AP

A rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its density increases steadily between its ends from 2.70 g/cm3 to 19.3 g/cm3. (a) Identify the constants B and C required in the expression ρ = B + Cx to describe the variable density. (b) The mass of the rod is given by

m = all material ρ d V = all x ρ A d x = 0 14 .0 cm ( B + C x ) ( 9.00 cm 2 ) d x

Carry out the integration to find the mass of the rod.

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Chapter 1 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

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